What is the Least Common Multiple of 66369 and 66375?

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 66369 and 66375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66369 and 66375, than apply into the LCM equation.

GCF(66369,66375) = 3
LCM(66369,66375) = ( 66369 × 66375) / 3
LCM(66369,66375) = 4405242375 / 3
LCM(66369,66375) = 1468414125

Least Common Multiple (LCM) of 66369 and 66375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66369 and 66375. First we will calculate the prime factors of 66369 and 66375.

Prime Factorization of 66369

Prime Factorization of 66375

Now multiplying the highest exponent prime factors to calculate the LCM of 66369 and 66375.

LCM(66369,66375) = 3² × 22123¹ × 5³ × 59¹
LCM(66369,66375) = 1468414125