HowManyNumbers Logo

Least Common Multiple (LCM) of 41 and 175

The least common multiple (LCM) of 41 and 175 is 7175.

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 41 and 175?

First, calculate the GCD of 41 and 175 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 41 ÷ 175 = 0 remainder 41
2 175 ÷ 41 = 4 remainder 11
3 41 ÷ 11 = 3 remainder 8
4 11 ÷ 8 = 1 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
142 and 71142
138 and 1168004
99 and 14013860
155 and 17627280
142 and 1127952

Try Calculating LCM of Other Numbers







Related Calculators