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Least Common Multiple (LCM) of 200 and 49

The least common multiple (LCM) of 200 and 49 is 9800.

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 200 and 49?

First, calculate the GCD of 200 and 49 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 200 ÷ 49 = 4 remainder 4
2 49 ÷ 4 = 12 remainder 1
3 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
184 and 1363128
32 and 1334256
63 and 17911277
102 and 391326
99 and 323168

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