What is the Least Common Multiple of 60204 and 60215?

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 60204 and 60215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60204 and 60215, than apply into the LCM equation.

GCF(60204,60215) = 1
LCM(60204,60215) = ( 60204 × 60215) / 1
LCM(60204,60215) = 3625183860 / 1
LCM(60204,60215) = 3625183860

Least Common Multiple (LCM) of 60204 and 60215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60204 and 60215. First we will calculate the prime factors of 60204 and 60215.

Prime Factorization of 60204

Prime Factorization of 60215

Now multiplying the highest exponent prime factors to calculate the LCM of 60204 and 60215.

LCM(60204,60215) = 2² × 3¹ × 29¹ × 173¹ × 5¹ × 12043¹
LCM(60204,60215) = 3625183860