What is the Least Common Multiple of 54738 and 54752?

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 54738 and 54752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54738 and 54752, than apply into the LCM equation.

GCF(54738,54752) = 2
LCM(54738,54752) = ( 54738 × 54752) / 2
LCM(54738,54752) = 2997014976 / 2
LCM(54738,54752) = 1498507488

Least Common Multiple (LCM) of 54738 and 54752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54738 and 54752. First we will calculate the prime factors of 54738 and 54752.

Prime Factorization of 54738

Prime Factorization of 54752

Now multiplying the highest exponent prime factors to calculate the LCM of 54738 and 54752.

LCM(54738,54752) = 2⁵ × 3² × 3041¹ × 29¹ × 59¹
LCM(54738,54752) = 1498507488