LCM for 84 and 224

What's the Least Common Multiple (LCM) of 84 and 224?

Answer: LCM of 84 and 224 is 672

(Six hundred seventy-two)

Finding LCM for 84 and 224 using GCF's of these numbers

The first method to find LCM for numbers 84 and 224 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 84 and 224 is 28, so

LCM = (84 × 224) ÷ 28

LCM = 18816 ÷ 28

LCM = 672

Finding LCM for 84 and 224 by Listing Multiples

The second method to find LCM for numbers 84 and 224 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 84: 84, 168, 252, 336, 420, 504, 588, 672, 756, 840

Multiples of 224: 224, 448, 672, 896, 1120

So the LCM for 84 and 224 is 672

Finding LCM for 84 and 224 by Prime Factorization

Another method to find LCM for numbers 84 and 224 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 224: 2, 2, 2, 2, 2, 7 (exponent form: 25, 71)

25 × 31 × 71 = 672

See Also

LCM Table

Number 1Number 2LCM
6922415456
702241120
7122415904
722242016
7322416352
742248288
7522416800
762244256
772242464
782248736
7922417696
802241120
8122418144
822249184
8322418592
84224
8522419040
862249632
8722419488
882242464
8922419936
9022410080
912242912
922245152
9322420832
9422410528
9522421280
96224672
9722421728
982241568

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 224? (The answer is: 672). Select the first number (e.g. '84') and the second number (e.g. '224'). 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

FAQ

What's the Least Common Multiple (LCM) of 84 and 224?

LCM of 84 and 224 is 672