What is the Least Common Multiple of 69312 and 69321?

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 69312 and 69321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69312 and 69321, than apply into the LCM equation.

GCF(69312,69321) = 3
LCM(69312,69321) = ( 69312 × 69321) / 3
LCM(69312,69321) = 4804777152 / 3
LCM(69312,69321) = 1601592384

Least Common Multiple (LCM) of 69312 and 69321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69312 and 69321. First we will calculate the prime factors of 69312 and 69321.

Prime Factorization of 69312

Prime Factorization of 69321

Now multiplying the highest exponent prime factors to calculate the LCM of 69312 and 69321.

LCM(69312,69321) = 2⁶ × 3¹ × 19² × 7¹ × 3301¹
LCM(69312,69321) = 1601592384