What is the Least Common Multiple of 53605 and 53623?

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 53605 and 53623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53605 and 53623, than apply into the LCM equation.

GCF(53605,53623) = 1
LCM(53605,53623) = ( 53605 × 53623) / 1
LCM(53605,53623) = 2874460915 / 1
LCM(53605,53623) = 2874460915

Least Common Multiple (LCM) of 53605 and 53623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53605 and 53623. First we will calculate the prime factors of 53605 and 53623.

Prime Factorization of 53605

Prime Factorization of 53623

Now multiplying the highest exponent prime factors to calculate the LCM of 53605 and 53623.

LCM(53605,53623) = 5¹ × 71¹ × 151¹ × 53623¹
LCM(53605,53623) = 2874460915