What is the Least Common Multiple of 93594 and 93610?

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 93594 and 93610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93594 and 93610, than apply into the LCM equation.

GCF(93594,93610) = 2
LCM(93594,93610) = ( 93594 × 93610) / 2
LCM(93594,93610) = 8761334340 / 2
LCM(93594,93610) = 4380667170

Least Common Multiple (LCM) of 93594 and 93610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93594 and 93610. First we will calculate the prime factors of 93594 and 93610.

Prime Factorization of 93594

Prime Factorization of 93610

Now multiplying the highest exponent prime factors to calculate the LCM of 93594 and 93610.

LCM(93594,93610) = 2¹ × 3¹ × 19¹ × 821¹ × 5¹ × 11¹ × 23¹ × 37¹
LCM(93594,93610) = 4380667170