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Least Common Multiple (LCM) of 196 and 145

The least common multiple (LCM) of 196 and 145 is 28420.

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 145?

First, calculate the GCD of 196 and 145 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 196 ÷ 145 = 1 remainder 51
2 145 ÷ 51 = 2 remainder 43
3 51 ÷ 43 = 1 remainder 8
4 43 ÷ 8 = 5 remainder 3
5 8 ÷ 3 = 2 remainder 2
6 3 ÷ 2 = 1 remainder 1
7 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
76 and 1826916
169 and 101690
105 and 993465
125 and 10713375
70 and 722520

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