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Least Common Multiple (LCM) of 51 and 169

The least common multiple (LCM) of 51 and 169 is 8619.

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 51 and 169?

First, calculate the GCD of 51 and 169 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 51 ÷ 169 = 0 remainder 51
2 169 ÷ 51 = 3 remainder 16
3 51 ÷ 16 = 3 remainder 3
4 16 ÷ 3 = 5 remainder 1
5 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
14 and 77154
74 and 977178
164 and 14924436
53 and 542862
122 and 1348174

Try Calculating LCM of Other Numbers







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