What is the Least Common Multiple of 60646 and 60651?

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 60646 and 60651 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60646 and 60651, than apply into the LCM equation.

GCF(60646,60651) = 1
LCM(60646,60651) = ( 60646 × 60651) / 1
LCM(60646,60651) = 3678240546 / 1
LCM(60646,60651) = 3678240546

Least Common Multiple (LCM) of 60646 and 60651 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60646 and 60651. First we will calculate the prime factors of 60646 and 60651.

Prime Factorization of 60646

Prime Factorization of 60651

Now multiplying the highest exponent prime factors to calculate the LCM of 60646 and 60651.

LCM(60646,60651) = 2¹ × 30323¹ × 3² × 23¹ × 293¹
LCM(60646,60651) = 3678240546