What is the Least Common Multiple of 59980 and 59989?

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 59980 and 59989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59980 and 59989, than apply into the LCM equation.

GCF(59980,59989) = 1
LCM(59980,59989) = ( 59980 × 59989) / 1
LCM(59980,59989) = 3598140220 / 1
LCM(59980,59989) = 3598140220

Least Common Multiple (LCM) of 59980 and 59989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59980 and 59989. First we will calculate the prime factors of 59980 and 59989.

Prime Factorization of 59980

Prime Factorization of 59989

Now multiplying the highest exponent prime factors to calculate the LCM of 59980 and 59989.

LCM(59980,59989) = 2² × 5¹ × 2999¹ × 239¹ × 251¹
LCM(59980,59989) = 3598140220