What is the Least Common Multiple of 50874 and 50880?

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 50874 and 50880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50874 and 50880, than apply into the LCM equation.

GCF(50874,50880) = 6
LCM(50874,50880) = ( 50874 × 50880) / 6
LCM(50874,50880) = 2588469120 / 6
LCM(50874,50880) = 431411520

Least Common Multiple (LCM) of 50874 and 50880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50874 and 50880. First we will calculate the prime factors of 50874 and 50880.

Prime Factorization of 50874

Prime Factorization of 50880

Now multiplying the highest exponent prime factors to calculate the LCM of 50874 and 50880.

LCM(50874,50880) = 2⁶ × 3¹ × 61¹ × 139¹ × 5¹ × 53¹
LCM(50874,50880) = 431411520