What is the Least Common Multiple of 15478 and 15492?

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 15478 and 15492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15478 and 15492, than apply into the LCM equation.

GCF(15478,15492) = 2
LCM(15478,15492) = ( 15478 × 15492) / 2
LCM(15478,15492) = 239785176 / 2
LCM(15478,15492) = 119892588

Least Common Multiple (LCM) of 15478 and 15492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15478 and 15492. First we will calculate the prime factors of 15478 and 15492.

Prime Factorization of 15478

Prime Factorization of 15492

Now multiplying the highest exponent prime factors to calculate the LCM of 15478 and 15492.

LCM(15478,15492) = 2² × 71¹ × 109¹ × 3¹ × 1291¹
LCM(15478,15492) = 119892588