HowManyNumbers Logo

Least Common Multiple (LCM) of 45 and 85

The least common multiple (LCM) of 45 and 85 is 765.

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 45 and 85?

First, calculate the GCD of 45 and 85 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 45 ÷ 85 = 0 remainder 45
2 85 ÷ 45 = 1 remainder 40
3 45 ÷ 40 = 1 remainder 5
4 40 ÷ 5 = 8 remainder 0

Examples of LCM Calculations

NumbersLCM
177 and 264602
75 and 886600
53 and 1005300
173 and 10317819
44 and 592596

Try Calculating LCM of Other Numbers







Related Calculators