What is the Least Common Multiple of 60195 and 60204?

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 60195 and 60204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60195 and 60204, than apply into the LCM equation.

GCF(60195,60204) = 3
LCM(60195,60204) = ( 60195 × 60204) / 3
LCM(60195,60204) = 3623979780 / 3
LCM(60195,60204) = 1207993260

Least Common Multiple (LCM) of 60195 and 60204 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60195 and 60204. First we will calculate the prime factors of 60195 and 60204.

Prime Factorization of 60195

Prime Factorization of 60204

Now multiplying the highest exponent prime factors to calculate the LCM of 60195 and 60204.

LCM(60195,60204) = 3¹ × 5¹ × 4013¹ × 2² × 29¹ × 173¹
LCM(60195,60204) = 1207993260