What is the Least Common Multiple of 66024 and 66038?

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 66024 and 66038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66024 and 66038, than apply into the LCM equation.

GCF(66024,66038) = 14
LCM(66024,66038) = ( 66024 × 66038) / 14
LCM(66024,66038) = 4360092912 / 14
LCM(66024,66038) = 311435208

Least Common Multiple (LCM) of 66024 and 66038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66024 and 66038. First we will calculate the prime factors of 66024 and 66038.

Prime Factorization of 66024

Prime Factorization of 66038

Now multiplying the highest exponent prime factors to calculate the LCM of 66024 and 66038.

LCM(66024,66038) = 2³ × 3² × 7¹ × 131¹ × 53¹ × 89¹
LCM(66024,66038) = 311435208