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Least Common Multiple (LCM) of 196 and 175

The least common multiple (LCM) of 196 and 175 is 4900.

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 196 and 175?

First, calculate the GCD of 196 and 175 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 196 ÷ 175 = 1 remainder 21
2 175 ÷ 21 = 8 remainder 7
3 21 ÷ 7 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
86 and 461978
105 and 596195
53 and 1889964
103 and 16116583
120 and 1041560

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