What is the Least Common Multiple of 66024 and 66034?

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 66034 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 66034, than apply into the LCM equation.

GCF(66024,66034) = 2
LCM(66024,66034) = ( 66024 × 66034) / 2
LCM(66024,66034) = 4359828816 / 2
LCM(66024,66034) = 2179914408

Least Common Multiple (LCM) of 66024 and 66034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66024 and 66034. First we will calculate the prime factors of 66024 and 66034.

Prime Factorization of 66024

Prime Factorization of 66034

Now multiplying the highest exponent prime factors to calculate the LCM of 66024 and 66034.

LCM(66024,66034) = 2³ × 3² × 7¹ × 131¹ × 137¹ × 241¹
LCM(66024,66034) = 2179914408