What is the Least Common Multiple of 89347 and 89353?

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 89347 and 89353 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89347 and 89353, than apply into the LCM equation.

GCF(89347,89353) = 1
LCM(89347,89353) = ( 89347 × 89353) / 1
LCM(89347,89353) = 7983422491 / 1
LCM(89347,89353) = 7983422491

Least Common Multiple (LCM) of 89347 and 89353 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89347 and 89353. First we will calculate the prime factors of 89347 and 89353.

Prime Factorization of 89347

Prime Factorization of 89353

Now multiplying the highest exponent prime factors to calculate the LCM of 89347 and 89353.

LCM(89347,89353) = 47¹ × 1901¹ × 11¹ × 8123¹
LCM(89347,89353) = 7983422491