HowManyNumbers Logo

Least Common Multiple (LCM) of 27 and 97

The least common multiple (LCM) of 27 and 97 is 2619.

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 27 and 97?

First, calculate the GCD of 27 and 97 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 27 ÷ 97 = 0 remainder 27
2 97 ÷ 27 = 3 remainder 16
3 27 ÷ 16 = 1 remainder 11
4 16 ÷ 11 = 1 remainder 5
5 11 ÷ 5 = 2 remainder 1
6 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
80 and 72720
115 and 25575
58 and 19711426
24 and 13312
78 and 534134

Try Calculating LCM of Other Numbers







Related Calculators