What is the Least Common Multiple of 50490 and 50499?

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 50490 and 50499 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50490 and 50499, than apply into the LCM equation.

GCF(50490,50499) = 9
LCM(50490,50499) = ( 50490 × 50499) / 9
LCM(50490,50499) = 2549694510 / 9
LCM(50490,50499) = 283299390

Least Common Multiple (LCM) of 50490 and 50499 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50490 and 50499. First we will calculate the prime factors of 50490 and 50499.

Prime Factorization of 50490

Prime Factorization of 50499

Now multiplying the highest exponent prime factors to calculate the LCM of 50490 and 50499.

LCM(50490,50499) = 2¹ × 3³ × 5¹ × 11¹ × 17¹ × 31¹ × 181¹
LCM(50490,50499) = 283299390