LCM for 70 and 84

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Least Common Multiple of
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What's the Least Common Multiple (LCM) of 70 and 84?

Answer

LCM of 70 and 84 is
420

(Four hundred twenty)

Finding LCM for 70 and 84 using GCF of these numbers

The first method to find LCM for numbers 70 and 84 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 70 and 84 is 14, so

LCM = (70 × 84) ÷ 14

LCM = 5,880 ÷ 14

LCM = 420

Finding LCM for 70 and 84 by Listing Multiples

The second method to find LCM for numbers 70 and 84 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

Multiples of 84: 84, 168, 252, 336, 420, 504, 588

So the LCM for 70 and 84 is 420

Finding LCM for 70 and 84 by Prime Factorization

Another method to find LCM for numbers 70 and 84 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 84: 2, 2, 3, 7 (exponent form: 22, 31, 71)

22 × 51 × 71 × 31 = 420

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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 84? (The answer is: 420). Select the first number (e.g. '70') and the second number (e.g. '84'). 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
7021210
7080560
7084420
70105210
70110770
701151,610
70130910
701351,890
701452,030
701601,120
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

FAQ

What's the Least Common Multiple (LCM) of 70 and 84?

LCM of 70 and 84 is 420

How to find the LCM of 70 and 84 using prime factorization?

To find the LCM of 70 and 84, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 420.

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 84: LCM = 420, GCF = 14.

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