What is the Least Common Multiple of 93450 and 93465?

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 93450 and 93465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93450 and 93465, than apply into the LCM equation.

GCF(93450,93465) = 15
LCM(93450,93465) = ( 93450 × 93465) / 15
LCM(93450,93465) = 8734304250 / 15
LCM(93450,93465) = 582286950

Least Common Multiple (LCM) of 93450 and 93465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93450 and 93465. First we will calculate the prime factors of 93450 and 93465.

Prime Factorization of 93450

Prime Factorization of 93465

Now multiplying the highest exponent prime factors to calculate the LCM of 93450 and 93465.

LCM(93450,93465) = 2¹ × 3² × 5² × 7¹ × 89¹ × 31¹ × 67¹
LCM(93450,93465) = 582286950