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Least Common Multiple (LCM) of 136 and 169

The least common multiple (LCM) of 136 and 169 is 22984.

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 136 and 169?

First, calculate the GCD of 136 and 169 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 136 ÷ 169 = 0 remainder 136
2 169 ÷ 136 = 1 remainder 33
3 136 ÷ 33 = 4 remainder 4
4 33 ÷ 4 = 8 remainder 1
5 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
102 and 979894
104 and 11511960
51 and 1517701
152 and 17326296
174 and 541566

Try Calculating LCM of Other Numbers







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