What is the Least Common Multiple of 50330 and 50344?

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 50330 and 50344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50330 and 50344, than apply into the LCM equation.

GCF(50330,50344) = 14
LCM(50330,50344) = ( 50330 × 50344) / 14
LCM(50330,50344) = 2533813520 / 14
LCM(50330,50344) = 180986680

Least Common Multiple (LCM) of 50330 and 50344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50330 and 50344. First we will calculate the prime factors of 50330 and 50344.

Prime Factorization of 50330

Prime Factorization of 50344

Now multiplying the highest exponent prime factors to calculate the LCM of 50330 and 50344.

LCM(50330,50344) = 2³ × 5¹ × 7¹ × 719¹ × 29¹ × 31¹
LCM(50330,50344) = 180986680