What is the Least Common Multiple of 50556 and 50575?

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 50556 and 50575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50556 and 50575, than apply into the LCM equation.

GCF(50556,50575) = 1
LCM(50556,50575) = ( 50556 × 50575) / 1
LCM(50556,50575) = 2556869700 / 1
LCM(50556,50575) = 2556869700

Least Common Multiple (LCM) of 50556 and 50575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50556 and 50575. First we will calculate the prime factors of 50556 and 50575.

Prime Factorization of 50556

Prime Factorization of 50575

Now multiplying the highest exponent prime factors to calculate the LCM of 50556 and 50575.

LCM(50556,50575) = 2² × 3¹ × 11¹ × 383¹ × 5² × 7¹ × 17²
LCM(50556,50575) = 2556869700