HowManyNumbers Logo

Least Common Multiple (LCM) of 145 and 76

The least common multiple (LCM) of 145 and 76 is 11020.

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 145 and 76?

First, calculate the GCD of 145 and 76 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 145 ÷ 76 = 1 remainder 69
2 76 ÷ 69 = 1 remainder 7
3 69 ÷ 7 = 9 remainder 6
4 7 ÷ 6 = 1 remainder 1
5 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
126 and 1308190
190 and 9317670
171 and 406840
53 and 924876
111 and 798769

Try Calculating LCM of Other Numbers







Related Calculators