What is the Least Common Multiple of 52755 and 52772?

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 52772 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 52772, than apply into the LCM equation.

GCF(52755,52772) = 1
LCM(52755,52772) = ( 52755 × 52772) / 1
LCM(52755,52772) = 2783986860 / 1
LCM(52755,52772) = 2783986860

Least Common Multiple (LCM) of 52755 and 52772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52755 and 52772. First we will calculate the prime factors of 52755 and 52772.

Prime Factorization of 52755

Prime Factorization of 52772

Now multiplying the highest exponent prime factors to calculate the LCM of 52755 and 52772.

LCM(52755,52772) = 3¹ × 5¹ × 3517¹ × 2² × 79¹ × 167¹
LCM(52755,52772) = 2783986860