What is the Least Common Multiple of 69210 and 69225?

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 69210 and 69225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69210 and 69225, than apply into the LCM equation.

GCF(69210,69225) = 15
LCM(69210,69225) = ( 69210 × 69225) / 15
LCM(69210,69225) = 4791062250 / 15
LCM(69210,69225) = 319404150

Least Common Multiple (LCM) of 69210 and 69225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69210 and 69225. First we will calculate the prime factors of 69210 and 69225.

Prime Factorization of 69210

Prime Factorization of 69225

Now multiplying the highest exponent prime factors to calculate the LCM of 69210 and 69225.

LCM(69210,69225) = 2¹ × 3² × 5² × 769¹ × 13¹ × 71¹
LCM(69210,69225) = 319404150