What is the Least Common Multiple of 62675 and 62680?

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 62675 and 62680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62675 and 62680, than apply into the LCM equation.

GCF(62675,62680) = 5
LCM(62675,62680) = ( 62675 × 62680) / 5
LCM(62675,62680) = 3928469000 / 5
LCM(62675,62680) = 785693800

Least Common Multiple (LCM) of 62675 and 62680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62675 and 62680. First we will calculate the prime factors of 62675 and 62680.

Prime Factorization of 62675

Prime Factorization of 62680

Now multiplying the highest exponent prime factors to calculate the LCM of 62675 and 62680.

LCM(62675,62680) = 5² × 23¹ × 109¹ × 2³ × 1567¹
LCM(62675,62680) = 785693800