What is the Least Common Multiple of 59982 and 59988?

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 59982 and 59988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59982 and 59988, than apply into the LCM equation.

GCF(59982,59988) = 6
LCM(59982,59988) = ( 59982 × 59988) / 6
LCM(59982,59988) = 3598200216 / 6
LCM(59982,59988) = 599700036

Least Common Multiple (LCM) of 59982 and 59988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59982 and 59988. First we will calculate the prime factors of 59982 and 59988.

Prime Factorization of 59982

Prime Factorization of 59988

Now multiplying the highest exponent prime factors to calculate the LCM of 59982 and 59988.

LCM(59982,59988) = 2² × 3¹ × 13¹ × 769¹ × 4999¹
LCM(59982,59988) = 599700036