What is the Least Common Multiple of 54500 and 54512?

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 54500 and 54512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54500 and 54512, than apply into the LCM equation.

GCF(54500,54512) = 4
LCM(54500,54512) = ( 54500 × 54512) / 4
LCM(54500,54512) = 2970904000 / 4
LCM(54500,54512) = 742726000

Least Common Multiple (LCM) of 54500 and 54512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54500 and 54512. First we will calculate the prime factors of 54500 and 54512.

Prime Factorization of 54500

Prime Factorization of 54512

Now multiplying the highest exponent prime factors to calculate the LCM of 54500 and 54512.

LCM(54500,54512) = 2⁴ × 5³ × 109¹ × 3407¹
LCM(54500,54512) = 742726000