What is the Least Common Multiple of 50316 and 50336?

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 50316 and 50336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50316 and 50336, than apply into the LCM equation.

GCF(50316,50336) = 4
LCM(50316,50336) = ( 50316 × 50336) / 4
LCM(50316,50336) = 2532706176 / 4
LCM(50316,50336) = 633176544

Least Common Multiple (LCM) of 50316 and 50336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50316 and 50336. First we will calculate the prime factors of 50316 and 50336.

Prime Factorization of 50316

Prime Factorization of 50336

Now multiplying the highest exponent prime factors to calculate the LCM of 50316 and 50336.

LCM(50316,50336) = 2⁵ × 3¹ × 7¹ × 599¹ × 11² × 13¹
LCM(50316,50336) = 633176544