LCM for 70 and 300

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What's the Least Common Multiple (LCM) of 70 and 300?

Answer

LCM of 70 and 300 is
2,100

(Two thousand one hundred)

Finding LCM for 70 and 300 using GCF of these numbers

The first method to find LCM for numbers 70 and 300 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 70 and 300 is 10, so

LCM = (70 × 300) ÷ 10

LCM = 21,000 ÷ 10

LCM = 2,100

Finding LCM for 70 and 300 by Listing Multiples

The second method to find LCM for numbers 70 and 300 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, 1,050, 1,120, 1,190, 1,260, 1,330, 1,400, 1,470, 1,540, 1,610, 1,680, 1,750, 1,820, 1,890, 1,960, 2,030, 2,100, 2,170, 2,240

Multiples of 300: 300, 600, 900, 1,200, 1,500, 1,800, 2,100, 2,400, 2,700

So the LCM for 70 and 300 is 2,100

Finding LCM for 70 and 300 by Prime Factorization

Another method to find LCM for numbers 70 and 300 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 300: 2, 2, 3, 5, 5 (exponent form: 22, 31, 52)

22 × 52 × 71 × 31 = 2,100

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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 300? (The answer is: 2,100). Select the first number (e.g. '70') and the second number (e.g. '300'). 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
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LCM Table

Number 1Number 2LCM
701801,260
701852,590
701952,730
702001,400
702052,870
70210210
702153,010
702301,610
702401,680
70245490
702653,710
702701,890
702753,850
702902,030
702954,130
703002,100
703054,270
703102,170
703202,240
703302,310
703354,690
70350350
703602,520
703655,110
70385770
703955,530
704002,800
70420420
704303,010
704356,090

FAQ

What's the Least Common Multiple (LCM) of 70 and 300?

LCM of 70 and 300 is 2,100

How to find the LCM of 70 and 300 using prime factorization?

To find the LCM of 70 and 300, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,100.

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 300: LCM = 2,100, GCF = 10.

See Also