What is the Least Common Multiple of 88431 and 88447?

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 88431 and 88447 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88431 and 88447, than apply into the LCM equation.

GCF(88431,88447) = 1
LCM(88431,88447) = ( 88431 × 88447) / 1
LCM(88431,88447) = 7821456657 / 1
LCM(88431,88447) = 7821456657

Least Common Multiple (LCM) of 88431 and 88447 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88431 and 88447. First we will calculate the prime factors of 88431 and 88447.

Prime Factorization of 88431

Prime Factorization of 88447

Now multiplying the highest exponent prime factors to calculate the LCM of 88431 and 88447.

LCM(88431,88447) = 3¹ × 7¹ × 4211¹ × 241¹ × 367¹
LCM(88431,88447) = 7821456657