What is the Least Common Multiple of 50478 and 50486?

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 50478 and 50486 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50478 and 50486, than apply into the LCM equation.

GCF(50478,50486) = 2
LCM(50478,50486) = ( 50478 × 50486) / 2
LCM(50478,50486) = 2548432308 / 2
LCM(50478,50486) = 1274216154

Least Common Multiple (LCM) of 50478 and 50486 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50478 and 50486. First we will calculate the prime factors of 50478 and 50486.

Prime Factorization of 50478

Prime Factorization of 50486

Now multiplying the highest exponent prime factors to calculate the LCM of 50478 and 50486.

LCM(50478,50486) = 2¹ × 3¹ × 47¹ × 179¹ × 25243¹
LCM(50478,50486) = 1274216154