HowManyNumbers Logo

Least Common Multiple (LCM) of 116 and 34

The least common multiple (LCM) of 116 and 34 is 1972.

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 116 and 34?

First, calculate the GCD of 116 and 34 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 116 ÷ 34 = 3 remainder 14
2 34 ÷ 14 = 2 remainder 6
3 14 ÷ 6 = 2 remainder 2
4 6 ÷ 2 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
55 and 33165
167 and 437181
55 and 1601760
45 and 14630
18 and 19342

Try Calculating LCM of Other Numbers







Related Calculators