What is the Least Common Multiple of 89574 and 89585?

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 89574 and 89585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89574 and 89585, than apply into the LCM equation.

GCF(89574,89585) = 1
LCM(89574,89585) = ( 89574 × 89585) / 1
LCM(89574,89585) = 8024486790 / 1
LCM(89574,89585) = 8024486790

Least Common Multiple (LCM) of 89574 and 89585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89574 and 89585. First we will calculate the prime factors of 89574 and 89585.

Prime Factorization of 89574

Prime Factorization of 89585

Now multiplying the highest exponent prime factors to calculate the LCM of 89574 and 89585.

LCM(89574,89585) = 2¹ × 3¹ × 14929¹ × 5¹ × 19¹ × 23¹ × 41¹
LCM(89574,89585) = 8024486790