What is the Least Common Multiple of 54462 and 54478?

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 54462 and 54478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54462 and 54478, than apply into the LCM equation.

GCF(54462,54478) = 2
LCM(54462,54478) = ( 54462 × 54478) / 2
LCM(54462,54478) = 2966980836 / 2
LCM(54462,54478) = 1483490418

Least Common Multiple (LCM) of 54462 and 54478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54462 and 54478. First we will calculate the prime factors of 54462 and 54478.

Prime Factorization of 54462

Prime Factorization of 54478

Now multiplying the highest exponent prime factors to calculate the LCM of 54462 and 54478.

LCM(54462,54478) = 2¹ × 3¹ × 29¹ × 313¹ × 27239¹
LCM(54462,54478) = 1483490418