What is the Least Common Multiple of 85575 and 85594?

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 85575 and 85594 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85575 and 85594, than apply into the LCM equation.

GCF(85575,85594) = 1
LCM(85575,85594) = ( 85575 × 85594) / 1
LCM(85575,85594) = 7324706550 / 1
LCM(85575,85594) = 7324706550

Least Common Multiple (LCM) of 85575 and 85594 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85575 and 85594. First we will calculate the prime factors of 85575 and 85594.

Prime Factorization of 85575

Prime Factorization of 85594

Now multiplying the highest exponent prime factors to calculate the LCM of 85575 and 85594.

LCM(85575,85594) = 3¹ × 5² × 7¹ × 163¹ × 2¹ × 42797¹
LCM(85575,85594) = 7324706550