What is the Least Common Multiple of 50985 and 50990?

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 50985 and 50990 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50985 and 50990, than apply into the LCM equation.

GCF(50985,50990) = 5
LCM(50985,50990) = ( 50985 × 50990) / 5
LCM(50985,50990) = 2599725150 / 5
LCM(50985,50990) = 519945030

Least Common Multiple (LCM) of 50985 and 50990 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50985 and 50990. First we will calculate the prime factors of 50985 and 50990.

Prime Factorization of 50985

Prime Factorization of 50990

Now multiplying the highest exponent prime factors to calculate the LCM of 50985 and 50990.

LCM(50985,50990) = 3² × 5¹ × 11¹ × 103¹ × 2¹ × 5099¹
LCM(50985,50990) = 519945030