What is the Least Common Multiple of 60006 and 60016?

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 60016 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 60016, than apply into the LCM equation.

GCF(60006,60016) = 2
LCM(60006,60016) = ( 60006 × 60016) / 2
LCM(60006,60016) = 3601320096 / 2
LCM(60006,60016) = 1800660048

Least Common Multiple (LCM) of 60006 and 60016 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60006 and 60016. First we will calculate the prime factors of 60006 and 60016.

Prime Factorization of 60006

Prime Factorization of 60016

Now multiplying the highest exponent prime factors to calculate the LCM of 60006 and 60016.

LCM(60006,60016) = 2⁴ × 3¹ × 73¹ × 137¹ × 11² × 31¹
LCM(60006,60016) = 1800660048