What is the Least Common Multiple of 89408 and 89419?

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 89408 and 89419 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89408 and 89419, than apply into the LCM equation.

GCF(89408,89419) = 11
LCM(89408,89419) = ( 89408 × 89419) / 11
LCM(89408,89419) = 7994773952 / 11
LCM(89408,89419) = 726797632

Least Common Multiple (LCM) of 89408 and 89419 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89408 and 89419. First we will calculate the prime factors of 89408 and 89419.

Prime Factorization of 89408

Prime Factorization of 89419

Now multiplying the highest exponent prime factors to calculate the LCM of 89408 and 89419.

LCM(89408,89419) = 2⁶ × 11² × 127¹ × 739¹
LCM(89408,89419) = 726797632