What is the Least Common Multiple of 50478 and 50492?

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 50492 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 50492, than apply into the LCM equation.

GCF(50478,50492) = 2
LCM(50478,50492) = ( 50478 × 50492) / 2
LCM(50478,50492) = 2548735176 / 2
LCM(50478,50492) = 1274367588

Least Common Multiple (LCM) of 50478 and 50492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50478 and 50492. First we will calculate the prime factors of 50478 and 50492.

Prime Factorization of 50478

Prime Factorization of 50492

Now multiplying the highest exponent prime factors to calculate the LCM of 50478 and 50492.

LCM(50478,50492) = 2² × 3¹ × 47¹ × 179¹ × 13¹ × 971¹
LCM(50478,50492) = 1274367588