What is the Least Common Multiple of 50900 and 50912?

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 50900 and 50912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50900 and 50912, than apply into the LCM equation.

GCF(50900,50912) = 4
LCM(50900,50912) = ( 50900 × 50912) / 4
LCM(50900,50912) = 2591420800 / 4
LCM(50900,50912) = 647855200

Least Common Multiple (LCM) of 50900 and 50912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50900 and 50912. First we will calculate the prime factors of 50900 and 50912.

Prime Factorization of 50900

Prime Factorization of 50912

Now multiplying the highest exponent prime factors to calculate the LCM of 50900 and 50912.

LCM(50900,50912) = 2⁵ × 5² × 509¹ × 37¹ × 43¹
LCM(50900,50912) = 647855200