What is the Least Common Multiple of 66024 and 66036?

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 66036 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 66036, than apply into the LCM equation.

GCF(66024,66036) = 12
LCM(66024,66036) = ( 66024 × 66036) / 12
LCM(66024,66036) = 4359960864 / 12
LCM(66024,66036) = 363330072

Least Common Multiple (LCM) of 66024 and 66036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66024 and 66036. First we will calculate the prime factors of 66024 and 66036.

Prime Factorization of 66024

Prime Factorization of 66036

Now multiplying the highest exponent prime factors to calculate the LCM of 66024 and 66036.

LCM(66024,66036) = 2³ × 3² × 7¹ × 131¹ × 5503¹
LCM(66024,66036) = 363330072