What is the Least Common Multiple of 69039 and 69048?

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 69039 and 69048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69039 and 69048, than apply into the LCM equation.

GCF(69039,69048) = 9
LCM(69039,69048) = ( 69039 × 69048) / 9
LCM(69039,69048) = 4767004872 / 9
LCM(69039,69048) = 529667208

Least Common Multiple (LCM) of 69039 and 69048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69039 and 69048. First we will calculate the prime factors of 69039 and 69048.

Prime Factorization of 69039

Prime Factorization of 69048

Now multiplying the highest exponent prime factors to calculate the LCM of 69039 and 69048.

LCM(69039,69048) = 3³ × 2557¹ × 2³ × 7¹ × 137¹
LCM(69039,69048) = 529667208