What is the Least Common Multiple of 85884 and 85889?

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 85884 and 85889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85884 and 85889, than apply into the LCM equation.

GCF(85884,85889) = 1
LCM(85884,85889) = ( 85884 × 85889) / 1
LCM(85884,85889) = 7376490876 / 1
LCM(85884,85889) = 7376490876

Least Common Multiple (LCM) of 85884 and 85889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85884 and 85889. First we will calculate the prime factors of 85884 and 85889.

Prime Factorization of 85884

Prime Factorization of 85889

Now multiplying the highest exponent prime factors to calculate the LCM of 85884 and 85889.

LCM(85884,85889) = 2² × 3¹ × 17¹ × 421¹ × 85889¹
LCM(85884,85889) = 7376490876