What is the Least Common Multiple of 86310 and 86325?

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 86310 and 86325 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86310 and 86325, than apply into the LCM equation.

GCF(86310,86325) = 15
LCM(86310,86325) = ( 86310 × 86325) / 15
LCM(86310,86325) = 7450710750 / 15
LCM(86310,86325) = 496714050

Least Common Multiple (LCM) of 86310 and 86325 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86310 and 86325. First we will calculate the prime factors of 86310 and 86325.

Prime Factorization of 86310

Prime Factorization of 86325

Now multiplying the highest exponent prime factors to calculate the LCM of 86310 and 86325.

LCM(86310,86325) = 2¹ × 3² × 5² × 7¹ × 137¹ × 1151¹
LCM(86310,86325) = 496714050