HowManyNumbers Logo

Least Common Multiple (LCM) of 78 and 116

The least common multiple (LCM) of 78 and 116 is 4524.

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 78 and 116?

First, calculate the GCD of 78 and 116 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 78 ÷ 116 = 0 remainder 78
2 116 ÷ 78 = 1 remainder 38
3 78 ÷ 38 = 2 remainder 2
4 38 ÷ 2 = 19 remainder 0

Examples of LCM Calculations

NumbersLCM
167 and 101670
147 and 17826166
175 and 9716975
133 and 303990
145 and 7911455

Try Calculating LCM of Other Numbers







Related Calculators