What is the Least Common Multiple of 60668 and 60687?

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 60668 and 60687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60668 and 60687, than apply into the LCM equation.

GCF(60668,60687) = 1
LCM(60668,60687) = ( 60668 × 60687) / 1
LCM(60668,60687) = 3681758916 / 1
LCM(60668,60687) = 3681758916

Least Common Multiple (LCM) of 60668 and 60687 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60668 and 60687. First we will calculate the prime factors of 60668 and 60687.

Prime Factorization of 60668

Prime Factorization of 60687

Now multiplying the highest exponent prime factors to calculate the LCM of 60668 and 60687.

LCM(60668,60687) = 2² × 29¹ × 523¹ × 3² × 11¹ × 613¹
LCM(60668,60687) = 3681758916