What is the Least Common Multiple of 50976 and 50985?

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 50976 and 50985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50976 and 50985, than apply into the LCM equation.

GCF(50976,50985) = 9
LCM(50976,50985) = ( 50976 × 50985) / 9
LCM(50976,50985) = 2599011360 / 9
LCM(50976,50985) = 288779040

Least Common Multiple (LCM) of 50976 and 50985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50976 and 50985. First we will calculate the prime factors of 50976 and 50985.

Prime Factorization of 50976

Prime Factorization of 50985

Now multiplying the highest exponent prime factors to calculate the LCM of 50976 and 50985.

LCM(50976,50985) = 2⁵ × 3³ × 59¹ × 5¹ × 11¹ × 103¹
LCM(50976,50985) = 288779040