What is the Least Common Multiple of 5078 and 5096?

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 5078 and 5096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5078 and 5096, than apply into the LCM equation.

GCF(5078,5096) = 2
LCM(5078,5096) = ( 5078 × 5096) / 2
LCM(5078,5096) = 25877488 / 2
LCM(5078,5096) = 12938744

Least Common Multiple (LCM) of 5078 and 5096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5078 and 5096. First we will calculate the prime factors of 5078 and 5096.

Prime Factorization of 5078

Prime Factorization of 5096

Now multiplying the highest exponent prime factors to calculate the LCM of 5078 and 5096.

LCM(5078,5096) = 2³ × 2539¹ × 7² × 13¹
LCM(5078,5096) = 12938744