What is the Least Common Multiple of 51768 and 51780?

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 51768 and 51780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51768 and 51780, than apply into the LCM equation.

GCF(51768,51780) = 12
LCM(51768,51780) = ( 51768 × 51780) / 12
LCM(51768,51780) = 2680547040 / 12
LCM(51768,51780) = 223378920

Least Common Multiple (LCM) of 51768 and 51780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51768 and 51780. First we will calculate the prime factors of 51768 and 51780.

Prime Factorization of 51768

Prime Factorization of 51780

Now multiplying the highest exponent prime factors to calculate the LCM of 51768 and 51780.

LCM(51768,51780) = 2³ × 3² × 719¹ × 5¹ × 863¹
LCM(51768,51780) = 223378920