What is the Least Common Multiple of 95464 and 95478?

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 95464 and 95478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95464 and 95478, than apply into the LCM equation.

GCF(95464,95478) = 2
LCM(95464,95478) = ( 95464 × 95478) / 2
LCM(95464,95478) = 9114711792 / 2
LCM(95464,95478) = 4557355896

Least Common Multiple (LCM) of 95464 and 95478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95464 and 95478. First we will calculate the prime factors of 95464 and 95478.

Prime Factorization of 95464

Prime Factorization of 95478

Now multiplying the highest exponent prime factors to calculate the LCM of 95464 and 95478.

LCM(95464,95478) = 2³ × 11933¹ × 3¹ × 15913¹
LCM(95464,95478) = 4557355896