What is the Least Common Multiple of 49890 and 49905?

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 49890 and 49905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49890 and 49905, than apply into the LCM equation.

GCF(49890,49905) = 15
LCM(49890,49905) = ( 49890 × 49905) / 15
LCM(49890,49905) = 2489760450 / 15
LCM(49890,49905) = 165984030

Least Common Multiple (LCM) of 49890 and 49905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49890 and 49905. First we will calculate the prime factors of 49890 and 49905.

Prime Factorization of 49890

Prime Factorization of 49905

Now multiplying the highest exponent prime factors to calculate the LCM of 49890 and 49905.

LCM(49890,49905) = 2¹ × 3² × 5¹ × 1663¹ × 1109¹
LCM(49890,49905) = 165984030