HowManyNumbers Logo

Least Common Multiple (LCM) of 93 and 113

The least common multiple (LCM) of 93 and 113 is 10509.

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 93 and 113?

First, calculate the GCD of 93 and 113 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 93 ÷ 113 = 0 remainder 93
2 113 ÷ 93 = 1 remainder 20
3 93 ÷ 20 = 4 remainder 13
4 20 ÷ 13 = 1 remainder 7
5 13 ÷ 7 = 1 remainder 6
6 7 ÷ 6 = 1 remainder 1
7 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
130 and 241560
95 and 1051995
180 and 1237380
64 and 1103520
132 and 1922112

Try Calculating LCM of Other Numbers







Related Calculators