What is the Least Common Multiple of 95644 and 95659?

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 95644 and 95659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95644 and 95659, than apply into the LCM equation.

GCF(95644,95659) = 1
LCM(95644,95659) = ( 95644 × 95659) / 1
LCM(95644,95659) = 9149209396 / 1
LCM(95644,95659) = 9149209396

Least Common Multiple (LCM) of 95644 and 95659 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95644 and 95659. First we will calculate the prime factors of 95644 and 95659.

Prime Factorization of 95644

Prime Factorization of 95659

Now multiplying the highest exponent prime factors to calculate the LCM of 95644 and 95659.

LCM(95644,95659) = 2² × 23911¹ × 17² × 331¹
LCM(95644,95659) = 9149209396