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LCM for 70 and 310

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 70 and 310?

Answer

LCM of 70 and 310 is 2,170

(Two thousand, one hundred seventy)

Finding LCM for 70 and 310 using GCF of these numbers

The first method to find LCM for numbers 70 and 310 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 70 and 310 is 10, so

LCM = (70 × 310) ÷ 10

LCM = 21700 ÷ 10

LCM = 2170

Finding LCM for 70 and 310 by Listing Multiples

The second method to find LCM for numbers 70 and 310 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 70: 70, 140, 210, 280, 350, 420, 490, 560, 630, 700, 770, 840, 910, 980, 1050, 1120, 1190, 1260, 1330, 1400, 1470, 1540, 1610, 1680, 1750, 1820, 1890, 1960, 2030, 2100, 2170, 2240, 2310

Multiples of 310: 310, 620, 930, 1240, 1550, 1860, 2170, 2480, 2790

So the LCM for 70 and 310 is 2170

Finding LCM for 70 and 310 by Prime Factorization

Another method to find LCM for numbers 70 and 310 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 70: 2, 5, 7 (exponent form: 21, 51, 71)

All Prime Factors of 310: 2, 5, 31 (exponent form: 21, 51, 311)

21 × 51 × 71 × 311 = 2170

Related Calculations

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What is the LCM of 70 and 310?. The LCM of 70 and 310 is 2170 — the smallest common multiple of both integers.
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LCM Table

Number 1Number 2LCM
702001400
702052870
70210210
702153010
702301610
702401680
70245490
702653710
702701890
702732730
702753850
702902030
702954130
703002100
703054270
703102170
703202240
703302310
703354690
70350350
703602520
703655110
70385770
703955530
704002800
70420420
704303010
704356090
704503150
70455910

About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 70 and 310? (The answer is: 2170). Select the first number (e.g. '70') and the second number (e.g. '310'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers

"Least Common Multiple" Calculator

Least Common Multiple of

and

FAQ

What's the Least Common Multiple (LCM) of 70 and 310?

LCM of 70 and 310 is 2,170

How to find the LCM of 70 and 310 using prime factorization?

To find the LCM of 70 and 310, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,170.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 70 and 310: LCM = 2,170, GCF = 10.

See Also