What is the Least Common Multiple of 93489 and 93504?

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 93489 and 93504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93489 and 93504, than apply into the LCM equation.

GCF(93489,93504) = 3
LCM(93489,93504) = ( 93489 × 93504) / 3
LCM(93489,93504) = 8741595456 / 3
LCM(93489,93504) = 2913865152

Least Common Multiple (LCM) of 93489 and 93504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93489 and 93504. First we will calculate the prime factors of 93489 and 93504.

Prime Factorization of 93489

Prime Factorization of 93504

Now multiplying the highest exponent prime factors to calculate the LCM of 93489 and 93504.

LCM(93489,93504) = 3¹ × 11¹ × 2833¹ × 2⁶ × 487¹
LCM(93489,93504) = 2913865152