What is the Least Common Multiple of 89284 and 89294?

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 89284 and 89294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89284 and 89294, than apply into the LCM equation.

GCF(89284,89294) = 2
LCM(89284,89294) = ( 89284 × 89294) / 2
LCM(89284,89294) = 7972525496 / 2
LCM(89284,89294) = 3986262748

Least Common Multiple (LCM) of 89284 and 89294 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89284 and 89294. First we will calculate the prime factors of 89284 and 89294.

Prime Factorization of 89284

Prime Factorization of 89294

Now multiplying the highest exponent prime factors to calculate the LCM of 89284 and 89294.

LCM(89284,89294) = 2² × 13¹ × 17¹ × 101¹ × 44647¹
LCM(89284,89294) = 3986262748