LCM for 70 and 330

"Least Common Multiple" Calculator
Least Common Multiple of
and

What's the Least Common Multiple (LCM) of 70 and 330?

Answer

LCM of 70 and 330 is
2,310

(Two thousand three hundred ten)

Finding LCM for 70 and 330 using GCF of these numbers

The first method to find LCM for numbers 70 and 330 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 70 and 330 is 10, so

LCM = (70 × 330) ÷ 10

LCM = 23,100 ÷ 10

LCM = 2,310

Finding LCM for 70 and 330 by Listing Multiples

The second method to find LCM for numbers 70 and 330 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, 2,310, 2,380, 2,450

Multiples of 330: 330, 660, 990, 1,320, 1,650, 1,980, 2,310, 2,640, 2,970

So the LCM for 70 and 330 is 2,310

Finding LCM for 70 and 330 by Prime Factorization

Another method to find LCM for numbers 70 and 330 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 330: 2, 3, 5, 11 (exponent form: 21, 31, 51, 111)

21 × 51 × 71 × 31 × 111 = 2,310

Related Calculations

See Also

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 330? (The answer is: 2,310). Select the first number (e.g. '70') and the second number (e.g. '330'). 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

LCM Table

Number 1Number 2LCM
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
704503,150
70455910
704656,510
704803,360

FAQ

What's the Least Common Multiple (LCM) of 70 and 330?

LCM of 70 and 330 is 2,310

How to find the LCM of 70 and 330 using prime factorization?

To find the LCM of 70 and 330, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,310.

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 330: LCM = 2,310, GCF = 10.

See Also