What is the Least Common Multiple of 78478 and 78492?

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 78478 and 78492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78478 and 78492, than apply into the LCM equation.

GCF(78478,78492) = 2
LCM(78478,78492) = ( 78478 × 78492) / 2
LCM(78478,78492) = 6159895176 / 2
LCM(78478,78492) = 3079947588

Least Common Multiple (LCM) of 78478 and 78492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78478 and 78492. First we will calculate the prime factors of 78478 and 78492.

Prime Factorization of 78478

Prime Factorization of 78492

Now multiplying the highest exponent prime factors to calculate the LCM of 78478 and 78492.

LCM(78478,78492) = 2² × 39239¹ × 3¹ × 31¹ × 211¹
LCM(78478,78492) = 3079947588