What is the Least Common Multiple of 89395 and 89413?

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 89395 and 89413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89395 and 89413, than apply into the LCM equation.

GCF(89395,89413) = 1
LCM(89395,89413) = ( 89395 × 89413) / 1
LCM(89395,89413) = 7993075135 / 1
LCM(89395,89413) = 7993075135

Least Common Multiple (LCM) of 89395 and 89413 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89395 and 89413. First we will calculate the prime factors of 89395 and 89413.

Prime Factorization of 89395

Prime Factorization of 89413

Now multiplying the highest exponent prime factors to calculate the LCM of 89395 and 89413.

LCM(89395,89413) = 5¹ × 19¹ × 941¹ × 89413¹
LCM(89395,89413) = 7993075135