What is the Least Common Multiple of 50465 and 50484?

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 50465 and 50484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50465 and 50484, than apply into the LCM equation.

GCF(50465,50484) = 1
LCM(50465,50484) = ( 50465 × 50484) / 1
LCM(50465,50484) = 2547675060 / 1
LCM(50465,50484) = 2547675060

Least Common Multiple (LCM) of 50465 and 50484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50465 and 50484. First we will calculate the prime factors of 50465 and 50484.

Prime Factorization of 50465

Prime Factorization of 50484

Now multiplying the highest exponent prime factors to calculate the LCM of 50465 and 50484.

LCM(50465,50484) = 5¹ × 10093¹ × 2² × 3¹ × 7¹ × 601¹
LCM(50465,50484) = 2547675060