What is the Least Common Multiple of 88431 and 88448?

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 88448 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 88448, than apply into the LCM equation.

GCF(88431,88448) = 1
LCM(88431,88448) = ( 88431 × 88448) / 1
LCM(88431,88448) = 7821545088 / 1
LCM(88431,88448) = 7821545088

Least Common Multiple (LCM) of 88431 and 88448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88431 and 88448. First we will calculate the prime factors of 88431 and 88448.

Prime Factorization of 88431

Prime Factorization of 88448

Now multiplying the highest exponent prime factors to calculate the LCM of 88431 and 88448.

LCM(88431,88448) = 3¹ × 7¹ × 4211¹ × 2⁷ × 691¹
LCM(88431,88448) = 7821545088