What is the Least Common Multiple of 50900 and 50919?

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 50919 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 50919, than apply into the LCM equation.

GCF(50900,50919) = 1
LCM(50900,50919) = ( 50900 × 50919) / 1
LCM(50900,50919) = 2591777100 / 1
LCM(50900,50919) = 2591777100

Least Common Multiple (LCM) of 50900 and 50919 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50900 and 50919. First we will calculate the prime factors of 50900 and 50919.

Prime Factorization of 50900

Prime Factorization of 50919

Now multiplying the highest exponent prime factors to calculate the LCM of 50900 and 50919.

LCM(50900,50919) = 2² × 5² × 509¹ × 3¹ × 11¹ × 1543¹
LCM(50900,50919) = 2591777100