What is the Least Common Multiple of 88442 and 88451?

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 88442 and 88451 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88442 and 88451, than apply into the LCM equation.

GCF(88442,88451) = 1
LCM(88442,88451) = ( 88442 × 88451) / 1
LCM(88442,88451) = 7822783342 / 1
LCM(88442,88451) = 7822783342

Least Common Multiple (LCM) of 88442 and 88451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88442 and 88451. First we will calculate the prime factors of 88442 and 88451.

Prime Factorization of 88442

Prime Factorization of 88451

Now multiplying the highest exponent prime factors to calculate the LCM of 88442 and 88451.

LCM(88442,88451) = 2¹ × 44221¹ × 11² × 17¹ × 43¹
LCM(88442,88451) = 7822783342