What is the Least Common Multiple of 59961 and 59978?

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 59961 and 59978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59961 and 59978, than apply into the LCM equation.

GCF(59961,59978) = 1
LCM(59961,59978) = ( 59961 × 59978) / 1
LCM(59961,59978) = 3596340858 / 1
LCM(59961,59978) = 3596340858

Least Common Multiple (LCM) of 59961 and 59978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59961 and 59978. First we will calculate the prime factors of 59961 and 59978.

Prime Factorization of 59961

Prime Factorization of 59978

Now multiplying the highest exponent prime factors to calculate the LCM of 59961 and 59978.

LCM(59961,59978) = 3¹ × 11¹ × 23¹ × 79¹ × 2¹ × 29989¹
LCM(59961,59978) = 3596340858