LCM for 168 and 224

What's the Least Common Multiple (LCM) of 168 and 224?

Answer: LCM of 168 and 224 is 672

(Six hundred seventy-two)

Finding LCM for 168 and 224 using GCF's of these numbers

The first method to find LCM for numbers 168 and 224 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 168 and 224 is 56, so

LCM = (168 × 224) ÷ 56

LCM = 37632 ÷ 56

LCM = 672

Finding LCM for 168 and 224 by Listing Multiples

The second method to find LCM for numbers 168 and 224 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 168: 168, 336, 504, 672, 840, 1008

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

So the LCM for 168 and 224 is 672

Finding LCM for 168 and 224 by Prime Factorization

Another method to find LCM for numbers 168 and 224 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 168: 2, 2, 2, 3, 7 (exponent form: 23, 31, 71)

All Prime Factors of 224: 2, 2, 2, 2, 2, 7 (exponent form: 25, 71)

25 × 31 × 71 = 672

LCM Table

Number 1Number 2LCM
15322434272
1542242464
15522434720
1562248736
15722435168
15822417696
15922435616
1602241120
1612245152
16222418144
16322436512
1642249184
16522436960
16622418592
16722437408
168224
16922437856
17022419040
17122438304
1722249632
17322438752
17422419488
1752245600
1762242464
17722439648
17822419936
17922440096
18022410080
18122440544
1822242912

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 168 and 224? (The answer is: 672). Select the first number (e.g. '168') 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 168 and 224?

LCM of 168 and 224 is 672