What is the Least Common Multiple of 95457 and 95461?

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 95457 and 95461 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95457 and 95461, than apply into the LCM equation.

GCF(95457,95461) = 1
LCM(95457,95461) = ( 95457 × 95461) / 1
LCM(95457,95461) = 9112420677 / 1
LCM(95457,95461) = 9112420677

Least Common Multiple (LCM) of 95457 and 95461 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95457 and 95461. First we will calculate the prime factors of 95457 and 95461.

Prime Factorization of 95457

Prime Factorization of 95461

Now multiplying the highest exponent prime factors to calculate the LCM of 95457 and 95461.

LCM(95457,95461) = 3¹ × 47¹ × 677¹ × 95461¹
LCM(95457,95461) = 9112420677