What is the Least Common Multiple of 45660 and 45665?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 45660 and 45665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45660 and 45665, than apply into the LCM equation.

GCF(45660,45665) = 5
LCM(45660,45665) = ( 45660 × 45665) / 5
LCM(45660,45665) = 2085063900 / 5
LCM(45660,45665) = 417012780

Least Common Multiple (LCM) of 45660 and 45665 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45660 and 45665. First we will calculate the prime factors of 45660 and 45665.

Prime Factorization of 45660

Prime Factorization of 45665

Now multiplying the highest exponent prime factors to calculate the LCM of 45660 and 45665.

LCM(45660,45665) = 2² × 3¹ × 5¹ × 761¹ × 9133¹
LCM(45660,45665) = 417012780