What is the Least Common Multiple of 50364 and 50377?

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 50364 and 50377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50364 and 50377, than apply into the LCM equation.

GCF(50364,50377) = 1
LCM(50364,50377) = ( 50364 × 50377) / 1
LCM(50364,50377) = 2537187228 / 1
LCM(50364,50377) = 2537187228

Least Common Multiple (LCM) of 50364 and 50377 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50364 and 50377. First we will calculate the prime factors of 50364 and 50377.

Prime Factorization of 50364

Prime Factorization of 50377

Now multiplying the highest exponent prime factors to calculate the LCM of 50364 and 50377.

LCM(50364,50377) = 2² × 3² × 1399¹ × 50377¹
LCM(50364,50377) = 2537187228