GCF and LCM Calculator Logo

What is the Least Common Multiple of 9204 and 9215?

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 (LCM) of 9204 and 9215 is 84814860.

LCM(9204,9215) = 84814860

LCM Calculator and
and

Least Common Multiple of 9204 and 9215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9204 and 9215, than apply into the LCM equation.

GCF(9204,9215) = 1
LCM(9204,9215) = ( 9204 × 9215) / 1
LCM(9204,9215) = 84814860 / 1
LCM(9204,9215) = 84814860

Least Common Multiple (LCM) of 9204 and 9215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9204 and 9215. First we will calculate the prime factors of 9204 and 9215.

Prime Factorization of 9204

Prime factors of 9204 are 2, 3, 13, 59. Prime factorization of 9204 in exponential form is:

9204 = 22 × 31 × 131 × 591

Prime Factorization of 9215

Prime factors of 9215 are 5, 19, 97. Prime factorization of 9215 in exponential form is:

9215 = 51 × 191 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 9204 and 9215.

LCM(9204,9215) = 22 × 31 × 131 × 591 × 51 × 191 × 971
LCM(9204,9215) = 84814860