What is the Least Common Multiple of 60978 and 60998?

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 60978 and 60998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60978 and 60998, than apply into the LCM equation.

GCF(60978,60998) = 2
LCM(60978,60998) = ( 60978 × 60998) / 2
LCM(60978,60998) = 3719536044 / 2
LCM(60978,60998) = 1859768022

Least Common Multiple (LCM) of 60978 and 60998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60978 and 60998. First we will calculate the prime factors of 60978 and 60998.

Prime Factorization of 60978

Prime Factorization of 60998

Now multiplying the highest exponent prime factors to calculate the LCM of 60978 and 60998.

LCM(60978,60998) = 2¹ × 3¹ × 10163¹ × 7¹ × 4357¹
LCM(60978,60998) = 1859768022