What is the Least Common Multiple of 66264 and 66275?

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 66264 and 66275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66264 and 66275, than apply into the LCM equation.

GCF(66264,66275) = 11
LCM(66264,66275) = ( 66264 × 66275) / 11
LCM(66264,66275) = 4391646600 / 11
LCM(66264,66275) = 399240600

Least Common Multiple (LCM) of 66264 and 66275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66264 and 66275. First we will calculate the prime factors of 66264 and 66275.

Prime Factorization of 66264

Prime Factorization of 66275

Now multiplying the highest exponent prime factors to calculate the LCM of 66264 and 66275.

LCM(66264,66275) = 2³ × 3¹ × 11¹ × 251¹ × 5² × 241¹
LCM(66264,66275) = 399240600