What is the Least Common Multiple of 51555 and 51570?

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 51555 and 51570 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51555 and 51570, than apply into the LCM equation.

GCF(51555,51570) = 15
LCM(51555,51570) = ( 51555 × 51570) / 15
LCM(51555,51570) = 2658691350 / 15
LCM(51555,51570) = 177246090

Least Common Multiple (LCM) of 51555 and 51570 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51555 and 51570. First we will calculate the prime factors of 51555 and 51570.

Prime Factorization of 51555

Prime Factorization of 51570

Now multiplying the highest exponent prime factors to calculate the LCM of 51555 and 51570.

LCM(51555,51570) = 3³ × 5¹ × 7¹ × 491¹ × 2¹ × 191¹
LCM(51555,51570) = 177246090