What is the Least Common Multiple of 59995 and 60015?

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 59995 and 60015 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59995 and 60015, than apply into the LCM equation.

GCF(59995,60015) = 5
LCM(59995,60015) = ( 59995 × 60015) / 5
LCM(59995,60015) = 3600599925 / 5
LCM(59995,60015) = 720119985

Least Common Multiple (LCM) of 59995 and 60015 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59995 and 60015. First we will calculate the prime factors of 59995 and 60015.

Prime Factorization of 59995

Prime Factorization of 60015

Now multiplying the highest exponent prime factors to calculate the LCM of 59995 and 60015.

LCM(59995,60015) = 5¹ × 13² × 71¹ × 3¹ × 4001¹
LCM(59995,60015) = 720119985