What is the Least Common Multiple of 67275 and 67287?

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 67275 and 67287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67275 and 67287, than apply into the LCM equation.

GCF(67275,67287) = 3
LCM(67275,67287) = ( 67275 × 67287) / 3
LCM(67275,67287) = 4526732925 / 3
LCM(67275,67287) = 1508910975

Least Common Multiple (LCM) of 67275 and 67287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67275 and 67287. First we will calculate the prime factors of 67275 and 67287.

Prime Factorization of 67275

Prime Factorization of 67287

Now multiplying the highest exponent prime factors to calculate the LCM of 67275 and 67287.

LCM(67275,67287) = 3² × 5² × 13¹ × 23¹ × 11¹ × 2039¹
LCM(67275,67287) = 1508910975