What is the Least Common Multiple of 54780 and 54800?

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 54780 and 54800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54780 and 54800, than apply into the LCM equation.

GCF(54780,54800) = 20
LCM(54780,54800) = ( 54780 × 54800) / 20
LCM(54780,54800) = 3001944000 / 20
LCM(54780,54800) = 150097200

Least Common Multiple (LCM) of 54780 and 54800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54780 and 54800. First we will calculate the prime factors of 54780 and 54800.

Prime Factorization of 54780

Prime Factorization of 54800

Now multiplying the highest exponent prime factors to calculate the LCM of 54780 and 54800.

LCM(54780,54800) = 2⁴ × 3¹ × 5² × 11¹ × 83¹ × 137¹
LCM(54780,54800) = 150097200