What is the Least Common Multiple of 49836 and 49849?

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 49836 and 49849 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49836 and 49849, than apply into the LCM equation.

GCF(49836,49849) = 1
LCM(49836,49849) = ( 49836 × 49849) / 1
LCM(49836,49849) = 2484274764 / 1
LCM(49836,49849) = 2484274764

Least Common Multiple (LCM) of 49836 and 49849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49836 and 49849. First we will calculate the prime factors of 49836 and 49849.

Prime Factorization of 49836

Prime Factorization of 49849

Now multiplying the highest exponent prime factors to calculate the LCM of 49836 and 49849.

LCM(49836,49849) = 2² × 3¹ × 4153¹ × 79¹ × 631¹
LCM(49836,49849) = 2484274764