What is the Least Common Multiple of 75576 and 75583?

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 75576 and 75583 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75576 and 75583, than apply into the LCM equation.

GCF(75576,75583) = 1
LCM(75576,75583) = ( 75576 × 75583) / 1
LCM(75576,75583) = 5712260808 / 1
LCM(75576,75583) = 5712260808

Least Common Multiple (LCM) of 75576 and 75583 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75576 and 75583. First we will calculate the prime factors of 75576 and 75583.

Prime Factorization of 75576

Prime Factorization of 75583

Now multiplying the highest exponent prime factors to calculate the LCM of 75576 and 75583.

LCM(75576,75583) = 2³ × 3¹ × 47¹ × 67¹ × 75583¹
LCM(75576,75583) = 5712260808