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Least Common Multiple (LCM) of 176 and 74

The least common multiple (LCM) of 176 and 74 is 6512.

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 176 and 74?

First, calculate the GCD of 176 and 74 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 176 ÷ 74 = 2 remainder 28
2 74 ÷ 28 = 2 remainder 18
3 28 ÷ 18 = 1 remainder 10
4 18 ÷ 10 = 1 remainder 8
5 10 ÷ 8 = 1 remainder 2
6 8 ÷ 2 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
95 and 19218240
129 and 597611
35 and 98490
34 and 1334522
130 and 1429230

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