What is the Least Common Multiple of 31478 and 31496?

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 31478 and 31496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31478 and 31496, than apply into the LCM equation.

GCF(31478,31496) = 2
LCM(31478,31496) = ( 31478 × 31496) / 2
LCM(31478,31496) = 991431088 / 2
LCM(31478,31496) = 495715544

Least Common Multiple (LCM) of 31478 and 31496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31478 and 31496. First we will calculate the prime factors of 31478 and 31496.

Prime Factorization of 31478

Prime Factorization of 31496

Now multiplying the highest exponent prime factors to calculate the LCM of 31478 and 31496.

LCM(31478,31496) = 2³ × 15739¹ × 31¹ × 127¹
LCM(31478,31496) = 495715544