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Least Common Multiple (LCM) of 69 and 76

The least common multiple (LCM) of 69 and 76 is 5244.

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 69 and 76?

First, calculate the GCD of 69 and 76 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 69 ÷ 76 = 0 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
87 and 1835307
92 and 12511500
19 and 1723268
40 and 331320
138 and 14610074

Try Calculating LCM of Other Numbers







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