What is the Least Common Multiple of 75559 and 75568?

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 75559 and 75568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75559 and 75568, than apply into the LCM equation.

GCF(75559,75568) = 1
LCM(75559,75568) = ( 75559 × 75568) / 1
LCM(75559,75568) = 5709842512 / 1
LCM(75559,75568) = 5709842512

Least Common Multiple (LCM) of 75559 and 75568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75559 and 75568. First we will calculate the prime factors of 75559 and 75568.

Prime Factorization of 75559

Prime Factorization of 75568

Now multiplying the highest exponent prime factors to calculate the LCM of 75559 and 75568.

LCM(75559,75568) = 11¹ × 6869¹ × 2⁴ × 4723¹
LCM(75559,75568) = 5709842512