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LCM for 84 and 105

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 84 and 105?

Answer

LCM of 84 and 105 is 420

(Four hundred twenty)

Finding LCM for 84 and 105 using GCF of these numbers

The first method to find LCM for numbers 84 and 105 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 84 and 105 is 21, so

LCM = (84 × 105) ÷ 21

LCM = 8820 ÷ 21

LCM = 420

Finding LCM for 84 and 105 by Listing Multiples

The second method to find LCM for numbers 84 and 105 is to list out the common multiples for both numbers and pick the first one that matches:

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

Multiples of 105: 105, 210, 315, 420, 525, 630

So the LCM for 84 and 105 is 420

Finding LCM for 84 and 105 by Prime Factorization

Another method to find LCM for numbers 84 and 105 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 84: 2, 2, 3, 7 (exponent form: 22, 31, 71)

All Prime Factors of 105: 3, 5, 7 (exponent form: 31, 51, 71)

22 × 31 × 71 × 51 = 420

See Also

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What is the LCM of 84 and 105?. Find the LCM of 84 and 105 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
691052415
70105210
711057455
721052520
731057665
741057770
75105525
761057980
771051155
781052730
791058295
801051680
811052835
821058610
831058715
84105420
851051785
861059030
871053045
881059240
891059345
90105630
911051365
921059660
931053255
941059870
951051995
961053360
9710510185
981051470

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 84 and 105? (The answer is: 420). Select the first number (e.g. '84') and the second number (e.g. '105'). 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 84 and 105?

LCM of 84 and 105 is 420

How to find the LCM of 84 and 105 using prime factorization?

To find the LCM of 84 and 105, 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 84 and 105: LCM = 420, GCF = 21.