What is the Least Common Multiple of 50976 and 50995?

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 50995 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 50995, than apply into the LCM equation.

GCF(50976,50995) = 1
LCM(50976,50995) = ( 50976 × 50995) / 1
LCM(50976,50995) = 2599521120 / 1
LCM(50976,50995) = 2599521120

Least Common Multiple (LCM) of 50976 and 50995 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50976 and 50995. First we will calculate the prime factors of 50976 and 50995.

Prime Factorization of 50976

Prime Factorization of 50995

Now multiplying the highest exponent prime factors to calculate the LCM of 50976 and 50995.

LCM(50976,50995) = 2⁵ × 3³ × 59¹ × 5¹ × 7¹ × 31¹ × 47¹
LCM(50976,50995) = 2599521120