What is the Least Common Multiple of 60957 and 60966?

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 60957 and 60966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60957 and 60966, than apply into the LCM equation.

GCF(60957,60966) = 9
LCM(60957,60966) = ( 60957 × 60966) / 9
LCM(60957,60966) = 3716304462 / 9
LCM(60957,60966) = 412922718

Least Common Multiple (LCM) of 60957 and 60966 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60957 and 60966. First we will calculate the prime factors of 60957 and 60966.

Prime Factorization of 60957

Prime Factorization of 60966

Now multiplying the highest exponent prime factors to calculate the LCM of 60957 and 60966.

LCM(60957,60966) = 3³ × 13¹ × 521¹ × 2¹ × 1129¹
LCM(60957,60966) = 412922718