What is the Least Common Multiple of 89441 and 89447?

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 89441 and 89447 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89441 and 89447, than apply into the LCM equation.

GCF(89441,89447) = 1
LCM(89441,89447) = ( 89441 × 89447) / 1
LCM(89441,89447) = 8000229127 / 1
LCM(89441,89447) = 8000229127

Least Common Multiple (LCM) of 89441 and 89447 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89441 and 89447. First we will calculate the prime factors of 89441 and 89447.

Prime Factorization of 89441

Prime Factorization of 89447

Now multiplying the highest exponent prime factors to calculate the LCM of 89441 and 89447.

LCM(89441,89447) = 11¹ × 47¹ × 173¹ × 23¹ × 3889¹
LCM(89441,89447) = 8000229127