What is the Least Common Multiple of 88475 and 88481?

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 88475 and 88481 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88475 and 88481, than apply into the LCM equation.

GCF(88475,88481) = 1
LCM(88475,88481) = ( 88475 × 88481) / 1
LCM(88475,88481) = 7828356475 / 1
LCM(88475,88481) = 7828356475

Least Common Multiple (LCM) of 88475 and 88481 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88475 and 88481. First we will calculate the prime factors of 88475 and 88481.

Prime Factorization of 88475

Prime Factorization of 88481

Now multiplying the highest exponent prime factors to calculate the LCM of 88475 and 88481.

LCM(88475,88481) = 5² × 3539¹ × 23¹ × 3847¹
LCM(88475,88481) = 7828356475