What is the Least Common Multiple of 50880 and 50895?

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 50895 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 50895, than apply into the LCM equation.

GCF(50880,50895) = 15
LCM(50880,50895) = ( 50880 × 50895) / 15
LCM(50880,50895) = 2589537600 / 15
LCM(50880,50895) = 172635840

Least Common Multiple (LCM) of 50880 and 50895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50880 and 50895. First we will calculate the prime factors of 50880 and 50895.

Prime Factorization of 50880

Prime Factorization of 50895

Now multiplying the highest exponent prime factors to calculate the LCM of 50880 and 50895.

LCM(50880,50895) = 2⁶ × 3³ × 5¹ × 53¹ × 13¹ × 29¹
LCM(50880,50895) = 172635840