What is the Least Common Multiple of 50880 and 50894?

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 50880 and 50894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50880 and 50894, than apply into the LCM equation.

GCF(50880,50894) = 2
LCM(50880,50894) = ( 50880 × 50894) / 2
LCM(50880,50894) = 2589486720 / 2
LCM(50880,50894) = 1294743360

Least Common Multiple (LCM) of 50880 and 50894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50880 and 50894. First we will calculate the prime factors of 50880 and 50894.

Prime Factorization of 50880

Prime Factorization of 50894

Now multiplying the highest exponent prime factors to calculate the LCM of 50880 and 50894.

LCM(50880,50894) = 2⁶ × 3¹ × 5¹ × 53¹ × 25447¹
LCM(50880,50894) = 1294743360