What is the Least Common Multiple of 50300 and 50306?

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 50300 and 50306 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50300 and 50306, than apply into the LCM equation.

GCF(50300,50306) = 2
LCM(50300,50306) = ( 50300 × 50306) / 2
LCM(50300,50306) = 2530391800 / 2
LCM(50300,50306) = 1265195900

Least Common Multiple (LCM) of 50300 and 50306 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50300 and 50306. First we will calculate the prime factors of 50300 and 50306.

Prime Factorization of 50300

Prime Factorization of 50306

Now multiplying the highest exponent prime factors to calculate the LCM of 50300 and 50306.

LCM(50300,50306) = 2² × 5² × 503¹ × 25153¹
LCM(50300,50306) = 1265195900