What is the Least Common Multiple of 60006 and 60013?

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 60006 and 60013 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60006 and 60013, than apply into the LCM equation.

GCF(60006,60013) = 1
LCM(60006,60013) = ( 60006 × 60013) / 1
LCM(60006,60013) = 3601140078 / 1
LCM(60006,60013) = 3601140078

Least Common Multiple (LCM) of 60006 and 60013 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60006 and 60013. First we will calculate the prime factors of 60006 and 60013.

Prime Factorization of 60006

Prime Factorization of 60013

Now multiplying the highest exponent prime factors to calculate the LCM of 60006 and 60013.

LCM(60006,60013) = 2¹ × 3¹ × 73¹ × 137¹ × 60013¹
LCM(60006,60013) = 3601140078