What is the Least Common Multiple of 69024 and 69036?

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 69024 and 69036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69024 and 69036, than apply into the LCM equation.

GCF(69024,69036) = 12
LCM(69024,69036) = ( 69024 × 69036) / 12
LCM(69024,69036) = 4765140864 / 12
LCM(69024,69036) = 397095072

Least Common Multiple (LCM) of 69024 and 69036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69024 and 69036. First we will calculate the prime factors of 69024 and 69036.

Prime Factorization of 69024

Prime Factorization of 69036

Now multiplying the highest exponent prime factors to calculate the LCM of 69024 and 69036.

LCM(69024,69036) = 2⁵ × 3¹ × 719¹ × 11¹ × 523¹
LCM(69024,69036) = 397095072