What is the Least Common Multiple of 50463 and 50481?

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 50463 and 50481 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50463 and 50481, than apply into the LCM equation.

GCF(50463,50481) = 9
LCM(50463,50481) = ( 50463 × 50481) / 9
LCM(50463,50481) = 2547422703 / 9
LCM(50463,50481) = 283046967

Least Common Multiple (LCM) of 50463 and 50481 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50463 and 50481. First we will calculate the prime factors of 50463 and 50481.

Prime Factorization of 50463

Prime Factorization of 50481

Now multiplying the highest exponent prime factors to calculate the LCM of 50463 and 50481.

LCM(50463,50481) = 3⁴ × 7¹ × 89¹ × 71¹ × 79¹
LCM(50463,50481) = 283046967