What is the Least Common Multiple of 85304 and 85314?

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 85304 and 85314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85304 and 85314, than apply into the LCM equation.

GCF(85304,85314) = 2
LCM(85304,85314) = ( 85304 × 85314) / 2
LCM(85304,85314) = 7277625456 / 2
LCM(85304,85314) = 3638812728

Least Common Multiple (LCM) of 85304 and 85314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85304 and 85314. First we will calculate the prime factors of 85304 and 85314.

Prime Factorization of 85304

Prime Factorization of 85314

Now multiplying the highest exponent prime factors to calculate the LCM of 85304 and 85314.

LCM(85304,85314) = 2³ × 10663¹ × 3¹ × 59¹ × 241¹
LCM(85304,85314) = 3638812728