What is the Least Common Multiple of 50496 and 50509?

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 50496 and 50509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50496 and 50509, than apply into the LCM equation.

GCF(50496,50509) = 1
LCM(50496,50509) = ( 50496 × 50509) / 1
LCM(50496,50509) = 2550502464 / 1
LCM(50496,50509) = 2550502464

Least Common Multiple (LCM) of 50496 and 50509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50496 and 50509. First we will calculate the prime factors of 50496 and 50509.

Prime Factorization of 50496

Prime Factorization of 50509

Now multiplying the highest exponent prime factors to calculate the LCM of 50496 and 50509.

LCM(50496,50509) = 2⁶ × 3¹ × 263¹ × 53¹ × 953¹
LCM(50496,50509) = 2550502464