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Least Common Multiple (LCM) of 157 and 49

The least common multiple (LCM) of 157 and 49 is 7693.

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 157 and 49?

First, calculate the GCD of 157 and 49 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 157 ÷ 49 = 3 remainder 10
2 49 ÷ 10 = 4 remainder 9
3 10 ÷ 9 = 1 remainder 1
4 9 ÷ 1 = 9 remainder 0

Examples of LCM Calculations

NumbersLCM
198 and 12212078
170 and 801360
14 and 2001400
173 and 8915397
28 and 1413948

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