What is the Least Common Multiple of 88435 and 88446?

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 88435 and 88446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88435 and 88446, than apply into the LCM equation.

GCF(88435,88446) = 1
LCM(88435,88446) = ( 88435 × 88446) / 1
LCM(88435,88446) = 7821722010 / 1
LCM(88435,88446) = 7821722010

Least Common Multiple (LCM) of 88435 and 88446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88435 and 88446. First we will calculate the prime factors of 88435 and 88446.

Prime Factorization of 88435

Prime Factorization of 88446

Now multiplying the highest exponent prime factors to calculate the LCM of 88435 and 88446.

LCM(88435,88446) = 5¹ × 23¹ × 769¹ × 2¹ × 3¹ × 14741¹
LCM(88435,88446) = 7821722010