What is the Least Common Multiple of 50048 and 50065?

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 50048 and 50065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50048 and 50065, than apply into the LCM equation.

GCF(50048,50065) = 17
LCM(50048,50065) = ( 50048 × 50065) / 17
LCM(50048,50065) = 2505653120 / 17
LCM(50048,50065) = 147391360

Least Common Multiple (LCM) of 50048 and 50065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50048 and 50065. First we will calculate the prime factors of 50048 and 50065.

Prime Factorization of 50048

Prime Factorization of 50065

Now multiplying the highest exponent prime factors to calculate the LCM of 50048 and 50065.

LCM(50048,50065) = 2⁷ × 17¹ × 23¹ × 5¹ × 19¹ × 31¹
LCM(50048,50065) = 147391360