What is the Least Common Multiple of 96447 and 96457?

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 96447 and 96457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96447 and 96457, than apply into the LCM equation.

GCF(96447,96457) = 1
LCM(96447,96457) = ( 96447 × 96457) / 1
LCM(96447,96457) = 9302988279 / 1
LCM(96447,96457) = 9302988279

Least Common Multiple (LCM) of 96447 and 96457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96447 and 96457. First we will calculate the prime factors of 96447 and 96457.

Prime Factorization of 96447

Prime Factorization of 96457

Now multiplying the highest exponent prime factors to calculate the LCM of 96447 and 96457.

LCM(96447,96457) = 3¹ × 13¹ × 2473¹ × 96457¹
LCM(96447,96457) = 9302988279