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Least Common Multiple (LCM) of 156 and 200

The least common multiple (LCM) of 156 and 200 is 7800.

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 156 and 200?

First, calculate the GCD of 156 and 200 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 156 ÷ 200 = 0 remainder 156
2 200 ÷ 156 = 1 remainder 44
3 156 ÷ 44 = 3 remainder 24
4 44 ÷ 24 = 1 remainder 20
5 24 ÷ 20 = 1 remainder 4
6 20 ÷ 4 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
86 and 1687224
69 and 1218349
15 and 1131695
167 and 416847
186 and 19937014

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