What is the Least Common Multiple of 85083 and 85088?

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 85083 and 85088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85083 and 85088, than apply into the LCM equation.

GCF(85083,85088) = 1
LCM(85083,85088) = ( 85083 × 85088) / 1
LCM(85083,85088) = 7239542304 / 1
LCM(85083,85088) = 7239542304

Least Common Multiple (LCM) of 85083 and 85088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85083 and 85088. First we will calculate the prime factors of 85083 and 85088.

Prime Factorization of 85083

Prime Factorization of 85088

Now multiplying the highest exponent prime factors to calculate the LCM of 85083 and 85088.

LCM(85083,85088) = 3¹ × 79¹ × 359¹ × 2⁵ × 2659¹
LCM(85083,85088) = 7239542304