What is the Least Common Multiple of 50290 and 50300?

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 50290 and 50300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50290 and 50300, than apply into the LCM equation.

GCF(50290,50300) = 10
LCM(50290,50300) = ( 50290 × 50300) / 10
LCM(50290,50300) = 2529587000 / 10
LCM(50290,50300) = 252958700

Least Common Multiple (LCM) of 50290 and 50300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50290 and 50300. First we will calculate the prime factors of 50290 and 50300.

Prime Factorization of 50290

Prime Factorization of 50300

Now multiplying the highest exponent prime factors to calculate the LCM of 50290 and 50300.

LCM(50290,50300) = 2² × 5² × 47¹ × 107¹ × 503¹
LCM(50290,50300) = 252958700