What is the Least Common Multiple of 50880 and 50900?

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 50880 and 50900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50880 and 50900, than apply into the LCM equation.

GCF(50880,50900) = 20
LCM(50880,50900) = ( 50880 × 50900) / 20
LCM(50880,50900) = 2589792000 / 20
LCM(50880,50900) = 129489600

Least Common Multiple (LCM) of 50880 and 50900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50880 and 50900. First we will calculate the prime factors of 50880 and 50900.

Prime Factorization of 50880

Prime Factorization of 50900

Now multiplying the highest exponent prime factors to calculate the LCM of 50880 and 50900.

LCM(50880,50900) = 2⁶ × 3¹ × 5² × 53¹ × 509¹
LCM(50880,50900) = 129489600