What is the Least Common Multiple of 49830 and 49845?

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 49830 and 49845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49830 and 49845, than apply into the LCM equation.

GCF(49830,49845) = 15
LCM(49830,49845) = ( 49830 × 49845) / 15
LCM(49830,49845) = 2483776350 / 15
LCM(49830,49845) = 165585090

Least Common Multiple (LCM) of 49830 and 49845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49830 and 49845. First we will calculate the prime factors of 49830 and 49845.

Prime Factorization of 49830

Prime Factorization of 49845

Now multiplying the highest exponent prime factors to calculate the LCM of 49830 and 49845.

LCM(49830,49845) = 2¹ × 3¹ × 5¹ × 11¹ × 151¹ × 3323¹
LCM(49830,49845) = 165585090