GCF and LCM Calculator Logo

What is the Least Common Multiple of 9200 and 9210?

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 9200 and 9210 is 8473200.

LCM(9200,9210) = 8473200

LCM Calculator and
and

Least Common Multiple of 9200 and 9210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9200 and 9210, than apply into the LCM equation.

GCF(9200,9210) = 10
LCM(9200,9210) = ( 9200 × 9210) / 10
LCM(9200,9210) = 84732000 / 10
LCM(9200,9210) = 8473200

Least Common Multiple (LCM) of 9200 and 9210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9200 and 9210. First we will calculate the prime factors of 9200 and 9210.

Prime Factorization of 9200

Prime factors of 9200 are 2, 5, 23. Prime factorization of 9200 in exponential form is:

9200 = 24 × 52 × 231

Prime Factorization of 9210

Prime factors of 9210 are 2, 3, 5, 307. Prime factorization of 9210 in exponential form is:

9210 = 21 × 31 × 51 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 9200 and 9210.

LCM(9200,9210) = 24 × 52 × 231 × 31 × 3071
LCM(9200,9210) = 8473200