What is the Least Common Multiple of 75750 and 75764?

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 75750 and 75764 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75750 and 75764, than apply into the LCM equation.

GCF(75750,75764) = 2
LCM(75750,75764) = ( 75750 × 75764) / 2
LCM(75750,75764) = 5739123000 / 2
LCM(75750,75764) = 2869561500

Least Common Multiple (LCM) of 75750 and 75764 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75750 and 75764. First we will calculate the prime factors of 75750 and 75764.

Prime Factorization of 75750

Prime Factorization of 75764

Now multiplying the highest exponent prime factors to calculate the LCM of 75750 and 75764.

LCM(75750,75764) = 2² × 3¹ × 5³ × 101¹ × 13¹ × 31¹ × 47¹
LCM(75750,75764) = 2869561500