What is the Least Common Multiple of 60007 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 60007 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 60007 and 60015, than apply into the LCM equation.

GCF(60007,60015) = 1
LCM(60007,60015) = ( 60007 × 60015) / 1
LCM(60007,60015) = 3601320105 / 1
LCM(60007,60015) = 3601320105

Least Common Multiple (LCM) of 60007 and 60015 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60007 and 60015. First we will calculate the prime factors of 60007 and 60015.

Prime Factorization of 60007

Prime Factorization of 60015

Now multiplying the highest exponent prime factors to calculate the LCM of 60007 and 60015.

LCM(60007,60015) = 23¹ × 2609¹ × 3¹ × 5¹ × 4001¹
LCM(60007,60015) = 3601320105