What is the Least Common Multiple of 50473 and 50490?

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 50473 and 50490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50473 and 50490, than apply into the LCM equation.

GCF(50473,50490) = 17
LCM(50473,50490) = ( 50473 × 50490) / 17
LCM(50473,50490) = 2548381770 / 17
LCM(50473,50490) = 149904810

Least Common Multiple (LCM) of 50473 and 50490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50473 and 50490. First we will calculate the prime factors of 50473 and 50490.

Prime Factorization of 50473

Prime Factorization of 50490

Now multiplying the highest exponent prime factors to calculate the LCM of 50473 and 50490.

LCM(50473,50490) = 17¹ × 2969¹ × 2¹ × 3³ × 5¹ × 11¹
LCM(50473,50490) = 149904810