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Least Common Multiple (LCM) of 196 and 148

The least common multiple (LCM) of 196 and 148 is 7252.

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 148?

First, calculate the GCD of 196 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 196 ÷ 148 = 1 remainder 48
2 148 ÷ 48 = 3 remainder 4
3 48 ÷ 4 = 12 remainder 0

Examples of LCM Calculations

NumbersLCM
184 and 16368
122 and 362196
182 and 19335126
100 and 1452900
86 and 10430

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