What is the Least Common Multiple of 88419 and 88431?

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 88419 and 88431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88419 and 88431, than apply into the LCM equation.

GCF(88419,88431) = 3
LCM(88419,88431) = ( 88419 × 88431) / 3
LCM(88419,88431) = 7818980589 / 3
LCM(88419,88431) = 2606326863

Least Common Multiple (LCM) of 88419 and 88431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88419 and 88431. First we will calculate the prime factors of 88419 and 88431.

Prime Factorization of 88419

Prime Factorization of 88431

Now multiplying the highest exponent prime factors to calculate the LCM of 88419 and 88431.

LCM(88419,88431) = 3¹ × 29473¹ × 7¹ × 4211¹
LCM(88419,88431) = 2606326863