What is the Least Common Multiple of 50994 and 51003?

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 50994 and 51003 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50994 and 51003, than apply into the LCM equation.

GCF(50994,51003) = 9
LCM(50994,51003) = ( 50994 × 51003) / 9
LCM(50994,51003) = 2600846982 / 9
LCM(50994,51003) = 288982998

Least Common Multiple (LCM) of 50994 and 51003 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50994 and 51003. First we will calculate the prime factors of 50994 and 51003.

Prime Factorization of 50994

Prime Factorization of 51003

Now multiplying the highest exponent prime factors to calculate the LCM of 50994 and 51003.

LCM(50994,51003) = 2¹ × 3³ × 2833¹ × 1889¹
LCM(50994,51003) = 288982998