What is the Least Common Multiple of 54278 and 54288?

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 54278 and 54288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54278 and 54288, than apply into the LCM equation.

GCF(54278,54288) = 2
LCM(54278,54288) = ( 54278 × 54288) / 2
LCM(54278,54288) = 2946644064 / 2
LCM(54278,54288) = 1473322032

Least Common Multiple (LCM) of 54278 and 54288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54278 and 54288. First we will calculate the prime factors of 54278 and 54288.

Prime Factorization of 54278

Prime Factorization of 54288

Now multiplying the highest exponent prime factors to calculate the LCM of 54278 and 54288.

LCM(54278,54288) = 2⁴ × 7¹ × 3877¹ × 3² × 13¹ × 29¹
LCM(54278,54288) = 1473322032