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Least Common Multiple (LCM) of 155 and 49

The least common multiple (LCM) of 155 and 49 is 7595.

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 155 and 49?

First, calculate the GCD of 155 and 49 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 155 ÷ 49 = 3 remainder 8
2 49 ÷ 8 = 6 remainder 1
3 8 ÷ 1 = 8 remainder 0

Examples of LCM Calculations

NumbersLCM
66 and 461518
87 and 13611832
119 and 10412376
169 and 16027040
143 and 314433

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