What is the Least Common Multiple of 51780 and 51790?

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 51780 and 51790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51780 and 51790, than apply into the LCM equation.

GCF(51780,51790) = 10
LCM(51780,51790) = ( 51780 × 51790) / 10
LCM(51780,51790) = 2681686200 / 10
LCM(51780,51790) = 268168620

Least Common Multiple (LCM) of 51780 and 51790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51780 and 51790. First we will calculate the prime factors of 51780 and 51790.

Prime Factorization of 51780

Prime Factorization of 51790

Now multiplying the highest exponent prime factors to calculate the LCM of 51780 and 51790.

LCM(51780,51790) = 2² × 3¹ × 5¹ × 863¹ × 5179¹
LCM(51780,51790) = 268168620