What is the Least Common Multiple of 50464 and 50483?

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 50464 and 50483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50464 and 50483, than apply into the LCM equation.

GCF(50464,50483) = 19
LCM(50464,50483) = ( 50464 × 50483) / 19
LCM(50464,50483) = 2547574112 / 19
LCM(50464,50483) = 134082848

Least Common Multiple (LCM) of 50464 and 50483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50464 and 50483. First we will calculate the prime factors of 50464 and 50483.

Prime Factorization of 50464

Prime Factorization of 50483

Now multiplying the highest exponent prime factors to calculate the LCM of 50464 and 50483.

LCM(50464,50483) = 2⁵ × 19¹ × 83¹ × 2657¹
LCM(50464,50483) = 134082848