What is the Least Common Multiple of 69384 and 69404?

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 69384 and 69404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69384 and 69404, than apply into the LCM equation.

GCF(69384,69404) = 4
LCM(69384,69404) = ( 69384 × 69404) / 4
LCM(69384,69404) = 4815527136 / 4
LCM(69384,69404) = 1203881784

Least Common Multiple (LCM) of 69384 and 69404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69384 and 69404. First we will calculate the prime factors of 69384 and 69404.

Prime Factorization of 69384

Prime Factorization of 69404

Now multiplying the highest exponent prime factors to calculate the LCM of 69384 and 69404.

LCM(69384,69404) = 2³ × 3¹ × 7² × 59¹ × 17351¹
LCM(69384,69404) = 1203881784