What is the Least Common Multiple of 95759 and 95779?

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 95759 and 95779 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95759 and 95779, than apply into the LCM equation.

GCF(95759,95779) = 1
LCM(95759,95779) = ( 95759 × 95779) / 1
LCM(95759,95779) = 9171701261 / 1
LCM(95759,95779) = 9171701261

Least Common Multiple (LCM) of 95759 and 95779 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95759 and 95779. First we will calculate the prime factors of 95759 and 95779.

Prime Factorization of 95759

Prime Factorization of 95779

Now multiplying the highest exponent prime factors to calculate the LCM of 95759 and 95779.

LCM(95759,95779) = 31¹ × 3089¹ × 19¹ × 71²
LCM(95759,95779) = 9171701261