What is the Least Common Multiple of 50742 and 50747?

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 50742 and 50747 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50742 and 50747, than apply into the LCM equation.

GCF(50742,50747) = 1
LCM(50742,50747) = ( 50742 × 50747) / 1
LCM(50742,50747) = 2575004274 / 1
LCM(50742,50747) = 2575004274

Least Common Multiple (LCM) of 50742 and 50747 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50742 and 50747. First we will calculate the prime factors of 50742 and 50747.

Prime Factorization of 50742

Prime Factorization of 50747

Now multiplying the highest exponent prime factors to calculate the LCM of 50742 and 50747.

LCM(50742,50747) = 2¹ × 3² × 2819¹ × 31¹ × 1637¹
LCM(50742,50747) = 2575004274