What is the Least Common Multiple of 65400 and 65415?

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 65400 and 65415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65400 and 65415, than apply into the LCM equation.

GCF(65400,65415) = 15
LCM(65400,65415) = ( 65400 × 65415) / 15
LCM(65400,65415) = 4278141000 / 15
LCM(65400,65415) = 285209400

Least Common Multiple (LCM) of 65400 and 65415 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65400 and 65415. First we will calculate the prime factors of 65400 and 65415.

Prime Factorization of 65400

Prime Factorization of 65415

Now multiplying the highest exponent prime factors to calculate the LCM of 65400 and 65415.

LCM(65400,65415) = 2³ × 3¹ × 5² × 109¹ × 7² × 89¹
LCM(65400,65415) = 285209400