What is the Least Common Multiple of 66375 and 66384?

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 66375 and 66384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66375 and 66384, than apply into the LCM equation.

GCF(66375,66384) = 9
LCM(66375,66384) = ( 66375 × 66384) / 9
LCM(66375,66384) = 4406238000 / 9
LCM(66375,66384) = 489582000

Least Common Multiple (LCM) of 66375 and 66384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66375 and 66384. First we will calculate the prime factors of 66375 and 66384.

Prime Factorization of 66375

Prime Factorization of 66384

Now multiplying the highest exponent prime factors to calculate the LCM of 66375 and 66384.

LCM(66375,66384) = 3² × 5³ × 59¹ × 2⁴ × 461¹
LCM(66375,66384) = 489582000