What is the Least Common Multiple of 75659 and 75663?

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 75659 and 75663 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75659 and 75663, than apply into the LCM equation.

GCF(75659,75663) = 1
LCM(75659,75663) = ( 75659 × 75663) / 1
LCM(75659,75663) = 5724586917 / 1
LCM(75659,75663) = 5724586917

Least Common Multiple (LCM) of 75659 and 75663 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75659 and 75663. First we will calculate the prime factors of 75659 and 75663.

Prime Factorization of 75659

Prime Factorization of 75663

Now multiplying the highest exponent prime factors to calculate the LCM of 75659 and 75663.

LCM(75659,75663) = 75659¹ × 3² × 7¹ × 1201¹
LCM(75659,75663) = 5724586917