HowManyNumbers Logo

Least Common Multiple (LCM) of 26 and 117

The least common multiple (LCM) of 26 and 117 is 234.

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 26 and 117?

First, calculate the GCD of 26 and 117 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 26 ÷ 117 = 0 remainder 26
2 117 ÷ 26 = 4 remainder 13
3 26 ÷ 13 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
167 and 589686
154 and 947238
133 and 19726201
27 and 772079
65 and 50650

Try Calculating LCM of Other Numbers







Related Calculators