What is the Least Common Multiple of 93451 and 93457?

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 93451 and 93457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93451 and 93457, than apply into the LCM equation.

GCF(93451,93457) = 1
LCM(93451,93457) = ( 93451 × 93457) / 1
LCM(93451,93457) = 8733650107 / 1
LCM(93451,93457) = 8733650107

Least Common Multiple (LCM) of 93451 and 93457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93451 and 93457. First we will calculate the prime factors of 93451 and 93457.

Prime Factorization of 93451

Prime Factorization of 93457

Now multiplying the highest exponent prime factors to calculate the LCM of 93451 and 93457.

LCM(93451,93457) = 113¹ × 827¹ × 7¹ × 13² × 79¹
LCM(93451,93457) = 8733650107