What is the Least Common Multiple of 50475 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 50475 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 50475 and 50490, than apply into the LCM equation.

GCF(50475,50490) = 15
LCM(50475,50490) = ( 50475 × 50490) / 15
LCM(50475,50490) = 2548482750 / 15
LCM(50475,50490) = 169898850

Least Common Multiple (LCM) of 50475 and 50490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50475 and 50490. First we will calculate the prime factors of 50475 and 50490.

Prime Factorization of 50475

Prime Factorization of 50490

Now multiplying the highest exponent prime factors to calculate the LCM of 50475 and 50490.

LCM(50475,50490) = 3³ × 5² × 673¹ × 2¹ × 11¹ × 17¹
LCM(50475,50490) = 169898850