What is the Least Common Multiple of 50364 and 50382?

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 50382 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 50382, than apply into the LCM equation.

GCF(50364,50382) = 18
LCM(50364,50382) = ( 50364 × 50382) / 18
LCM(50364,50382) = 2537439048 / 18
LCM(50364,50382) = 140968836

Least Common Multiple (LCM) of 50364 and 50382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50364 and 50382. First we will calculate the prime factors of 50364 and 50382.

Prime Factorization of 50364

Prime Factorization of 50382

Now multiplying the highest exponent prime factors to calculate the LCM of 50364 and 50382.

LCM(50364,50382) = 2² × 3⁴ × 1399¹ × 311¹
LCM(50364,50382) = 140968836