What is the Least Common Multiple of 95659 and 95671?

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 95659 and 95671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95659 and 95671, than apply into the LCM equation.

GCF(95659,95671) = 1
LCM(95659,95671) = ( 95659 × 95671) / 1
LCM(95659,95671) = 9151792189 / 1
LCM(95659,95671) = 9151792189

Least Common Multiple (LCM) of 95659 and 95671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95659 and 95671. First we will calculate the prime factors of 95659 and 95671.

Prime Factorization of 95659

Prime Factorization of 95671

Now multiplying the highest exponent prime factors to calculate the LCM of 95659 and 95671.

LCM(95659,95671) = 17² × 331¹ × 29¹ × 3299¹
LCM(95659,95671) = 9151792189