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
141 and 15822278
175 and 1605600
45 and 1044680
74 and 1666142
24 and 123984

Try Calculating LCM of Other Numbers







Related Calculators