What is the Least Common Multiple of 52755 and 52775?

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 52755 and 52775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52755 and 52775, than apply into the LCM equation.

GCF(52755,52775) = 5
LCM(52755,52775) = ( 52755 × 52775) / 5
LCM(52755,52775) = 2784145125 / 5
LCM(52755,52775) = 556829025

Least Common Multiple (LCM) of 52755 and 52775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52755 and 52775. First we will calculate the prime factors of 52755 and 52775.

Prime Factorization of 52755

Prime Factorization of 52775

Now multiplying the highest exponent prime factors to calculate the LCM of 52755 and 52775.

LCM(52755,52775) = 3¹ × 5² × 3517¹ × 2111¹
LCM(52755,52775) = 556829025