What is the Least Common Multiple of 66285 and 66300?

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 66285 and 66300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66285 and 66300, than apply into the LCM equation.

GCF(66285,66300) = 15
LCM(66285,66300) = ( 66285 × 66300) / 15
LCM(66285,66300) = 4394695500 / 15
LCM(66285,66300) = 292979700

Least Common Multiple (LCM) of 66285 and 66300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66285 and 66300. First we will calculate the prime factors of 66285 and 66300.

Prime Factorization of 66285

Prime Factorization of 66300

Now multiplying the highest exponent prime factors to calculate the LCM of 66285 and 66300.

LCM(66285,66300) = 3³ × 5² × 491¹ × 2² × 13¹ × 17¹
LCM(66285,66300) = 292979700