What is the Least Common Multiple of 75752 and 75768?

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 75752 and 75768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75752 and 75768, than apply into the LCM equation.

GCF(75752,75768) = 8
LCM(75752,75768) = ( 75752 × 75768) / 8
LCM(75752,75768) = 5739577536 / 8
LCM(75752,75768) = 717447192

Least Common Multiple (LCM) of 75752 and 75768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75752 and 75768. First we will calculate the prime factors of 75752 and 75768.

Prime Factorization of 75752

Prime Factorization of 75768

Now multiplying the highest exponent prime factors to calculate the LCM of 75752 and 75768.

LCM(75752,75768) = 2³ × 17¹ × 557¹ × 3¹ × 7¹ × 11¹ × 41¹
LCM(75752,75768) = 717447192