HowManyNumbers Logo

Least Common Multiple (LCM) of 21 and 162

The least common multiple (LCM) of 21 and 162 is 1134.

What is the Least Common Multiple (LCM)?

The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.

Formula for LCM

The LCM of two numbers can be calculated using their GCD:

LCM(a, b) = |a × b| ÷ GCD(a, b)

How to Calculate the LCM of 21 and 162?

First, calculate the GCD of 21 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 21 ÷ 162 = 0 remainder 21
2 162 ÷ 21 = 7 remainder 15
3 21 ÷ 15 = 1 remainder 6
4 15 ÷ 6 = 2 remainder 3
5 6 ÷ 3 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
69 and 412829
57 and 20011400
177 and 5810266
100 and 175700
154 and 241848

Try Calculating LCM of Other Numbers







Related Calculators