What is the Least Common Multiple of 49830 and 49836?

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 49836 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 49836, than apply into the LCM equation.

GCF(49830,49836) = 6
LCM(49830,49836) = ( 49830 × 49836) / 6
LCM(49830,49836) = 2483327880 / 6
LCM(49830,49836) = 413887980

Least Common Multiple (LCM) of 49830 and 49836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49830 and 49836. First we will calculate the prime factors of 49830 and 49836.

Prime Factorization of 49830

Prime Factorization of 49836

Now multiplying the highest exponent prime factors to calculate the LCM of 49830 and 49836.

LCM(49830,49836) = 2² × 3¹ × 5¹ × 11¹ × 151¹ × 4153¹
LCM(49830,49836) = 413887980