What is the Least Common Multiple of 93459 and 93473?

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 93459 and 93473 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93459 and 93473, than apply into the LCM equation.

GCF(93459,93473) = 1
LCM(93459,93473) = ( 93459 × 93473) / 1
LCM(93459,93473) = 8735893107 / 1
LCM(93459,93473) = 8735893107

Least Common Multiple (LCM) of 93459 and 93473 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93459 and 93473. First we will calculate the prime factors of 93459 and 93473.

Prime Factorization of 93459

Prime Factorization of 93473

Now multiplying the highest exponent prime factors to calculate the LCM of 93459 and 93473.

LCM(93459,93473) = 3¹ × 31153¹ × 211¹ × 443¹
LCM(93459,93473) = 8735893107