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Least Common Multiple (LCM) of 76 and 143

The least common multiple (LCM) of 76 and 143 is 10868.

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 76 and 143?

First, calculate the GCD of 76 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 76 ÷ 143 = 0 remainder 76
2 143 ÷ 76 = 1 remainder 67
3 76 ÷ 67 = 1 remainder 9
4 67 ÷ 9 = 7 remainder 4
5 9 ÷ 4 = 2 remainder 1
6 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
47 and 1637661
41 and 1576437
157 and 497693
104 and 17918616
54 and 571026

Try Calculating LCM of Other Numbers







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