What is the Least Common Multiple of 89407 and 89427?

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 89407 and 89427 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89407 and 89427, than apply into the LCM equation.

GCF(89407,89427) = 1
LCM(89407,89427) = ( 89407 × 89427) / 1
LCM(89407,89427) = 7995399789 / 1
LCM(89407,89427) = 7995399789

Least Common Multiple (LCM) of 89407 and 89427 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89407 and 89427. First we will calculate the prime factors of 89407 and 89427.

Prime Factorization of 89407

Prime Factorization of 89427

Now multiplying the highest exponent prime factors to calculate the LCM of 89407 and 89427.

LCM(89407,89427) = 29¹ × 3083¹ × 3¹ × 13¹ × 2293¹
LCM(89407,89427) = 7995399789