What is the Least Common Multiple of 85590 and 85603?

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 85590 and 85603 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85590 and 85603, than apply into the LCM equation.

GCF(85590,85603) = 1
LCM(85590,85603) = ( 85590 × 85603) / 1
LCM(85590,85603) = 7326760770 / 1
LCM(85590,85603) = 7326760770

Least Common Multiple (LCM) of 85590 and 85603 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85590 and 85603. First we will calculate the prime factors of 85590 and 85603.

Prime Factorization of 85590

Prime Factorization of 85603

Now multiplying the highest exponent prime factors to calculate the LCM of 85590 and 85603.

LCM(85590,85603) = 2¹ × 3³ × 5¹ × 317¹ × 7² × 1747¹
LCM(85590,85603) = 7326760770