What is the Least Common Multiple of 93489 and 93495?

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 93495 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 93495, than apply into the LCM equation.

GCF(93489,93495) = 3
LCM(93489,93495) = ( 93489 × 93495) / 3
LCM(93489,93495) = 8740754055 / 3
LCM(93489,93495) = 2913584685

Least Common Multiple (LCM) of 93489 and 93495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93489 and 93495. First we will calculate the prime factors of 93489 and 93495.

Prime Factorization of 93489

Prime Factorization of 93495

Now multiplying the highest exponent prime factors to calculate the LCM of 93489 and 93495.

LCM(93489,93495) = 3¹ × 11¹ × 2833¹ × 5¹ × 23¹ × 271¹
LCM(93489,93495) = 2913584685