What is the Least Common Multiple of 85563 and 85581?

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 85563 and 85581 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85563 and 85581, than apply into the LCM equation.

GCF(85563,85581) = 9
LCM(85563,85581) = ( 85563 × 85581) / 9
LCM(85563,85581) = 7322567103 / 9
LCM(85563,85581) = 813618567

Least Common Multiple (LCM) of 85563 and 85581 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85563 and 85581. First we will calculate the prime factors of 85563 and 85581.

Prime Factorization of 85563

Prime Factorization of 85581

Now multiplying the highest exponent prime factors to calculate the LCM of 85563 and 85581.

LCM(85563,85581) = 3³ × 3169¹ × 37¹ × 257¹
LCM(85563,85581) = 813618567