What is the Least Common Multiple of 54900 and 54909?

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 54900 and 54909 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54900 and 54909, than apply into the LCM equation.

GCF(54900,54909) = 9
LCM(54900,54909) = ( 54900 × 54909) / 9
LCM(54900,54909) = 3014504100 / 9
LCM(54900,54909) = 334944900

Least Common Multiple (LCM) of 54900 and 54909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54900 and 54909. First we will calculate the prime factors of 54900 and 54909.

Prime Factorization of 54900

Prime Factorization of 54909

Now multiplying the highest exponent prime factors to calculate the LCM of 54900 and 54909.

LCM(54900,54909) = 2² × 3² × 5² × 61¹ × 6101¹
LCM(54900,54909) = 334944900