What is the Least Common Multiple of 15462 and 15478?

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 15462 and 15478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15462 and 15478, than apply into the LCM equation.

GCF(15462,15478) = 2
LCM(15462,15478) = ( 15462 × 15478) / 2
LCM(15462,15478) = 239320836 / 2
LCM(15462,15478) = 119660418

Least Common Multiple (LCM) of 15462 and 15478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15462 and 15478. First we will calculate the prime factors of 15462 and 15478.

Prime Factorization of 15462

Prime Factorization of 15478

Now multiplying the highest exponent prime factors to calculate the LCM of 15462 and 15478.

LCM(15462,15478) = 2¹ × 3² × 859¹ × 71¹ × 109¹
LCM(15462,15478) = 119660418