GCF and LCM Calculator Logo

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 (LCM) of 66024 and 66038 is 311435208.

LCM(66024,66038) = 311435208

LCM Calculator and
and

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 factors of 66024 are 2, 3, 7, 131. Prime factorization of 66024 in exponential form is:

66024 = 23 × 32 × 71 × 1311

Prime Factorization of 66038

Prime factors of 66038 are 2, 7, 53, 89. Prime factorization of 66038 in exponential form is:

66038 = 21 × 71 × 531 × 891

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