What is the Least Common Multiple of 50478 and 50494?

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 50494 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 50494, than apply into the LCM equation.

GCF(50478,50494) = 2
LCM(50478,50494) = ( 50478 × 50494) / 2
LCM(50478,50494) = 2548836132 / 2
LCM(50478,50494) = 1274418066

Least Common Multiple (LCM) of 50478 and 50494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50478 and 50494. First we will calculate the prime factors of 50478 and 50494.

Prime Factorization of 50478

Prime Factorization of 50494

Now multiplying the highest exponent prime factors to calculate the LCM of 50478 and 50494.

LCM(50478,50494) = 2¹ × 3¹ × 47¹ × 179¹ × 25247¹
LCM(50478,50494) = 1274418066