HowManyNumbers Logo

Least Common Multiple (LCM) of 97 and 153

The least common multiple (LCM) of 97 and 153 is 14841.

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 97 and 153?

First, calculate the GCD of 97 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 97 ÷ 153 = 0 remainder 97
2 153 ÷ 97 = 1 remainder 56
3 97 ÷ 56 = 1 remainder 41
4 56 ÷ 41 = 1 remainder 15
5 41 ÷ 15 = 2 remainder 11
6 15 ÷ 11 = 1 remainder 4
7 11 ÷ 4 = 2 remainder 3
8 4 ÷ 3 = 1 remainder 1
9 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
41 and 311271
93 and 902790
145 and 15622620
186 and 807440
57 and 133399

Try Calculating LCM of Other Numbers







Related Calculators