What is the Least Common Multiple of 95750 and 95766?

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 95750 and 95766 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95750 and 95766, than apply into the LCM equation.

GCF(95750,95766) = 2
LCM(95750,95766) = ( 95750 × 95766) / 2
LCM(95750,95766) = 9169594500 / 2
LCM(95750,95766) = 4584797250

Least Common Multiple (LCM) of 95750 and 95766 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95750 and 95766. First we will calculate the prime factors of 95750 and 95766.

Prime Factorization of 95750

Prime Factorization of 95766

Now multiplying the highest exponent prime factors to calculate the LCM of 95750 and 95766.

LCM(95750,95766) = 2¹ × 5³ × 383¹ × 3¹ × 11¹ × 1451¹
LCM(95750,95766) = 4584797250