What is the Least Common Multiple of 89229 and 89248?

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 89229 and 89248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89229 and 89248, than apply into the LCM equation.

GCF(89229,89248) = 1
LCM(89229,89248) = ( 89229 × 89248) / 1
LCM(89229,89248) = 7963509792 / 1
LCM(89229,89248) = 7963509792

Least Common Multiple (LCM) of 89229 and 89248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89229 and 89248. First we will calculate the prime factors of 89229 and 89248.

Prime Factorization of 89229

Prime Factorization of 89248

Now multiplying the highest exponent prime factors to calculate the LCM of 89229 and 89248.

LCM(89229,89248) = 3¹ × 7² × 607¹ × 2⁵ × 2789¹
LCM(89229,89248) = 7963509792