HowManyNumbers Logo

Least Common Multiple (LCM) of 196 and 54

The least common multiple (LCM) of 196 and 54 is 5292.

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 196 and 54?

First, calculate the GCD of 196 and 54 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 196 ÷ 54 = 3 remainder 34
2 54 ÷ 34 = 1 remainder 20
3 34 ÷ 20 = 1 remainder 14
4 20 ÷ 14 = 1 remainder 6
5 14 ÷ 6 = 2 remainder 2
6 6 ÷ 2 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
199 and 20039800
95 and 434085
116 and 1243596
157 and 18328731
139 and 8712093

Try Calculating LCM of Other Numbers







Related Calculators