What is the Least Common Multiple of 49916 and 49929?

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 49916 and 49929 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49916 and 49929, than apply into the LCM equation.

GCF(49916,49929) = 1
LCM(49916,49929) = ( 49916 × 49929) / 1
LCM(49916,49929) = 2492255964 / 1
LCM(49916,49929) = 2492255964

Least Common Multiple (LCM) of 49916 and 49929 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49916 and 49929. First we will calculate the prime factors of 49916 and 49929.

Prime Factorization of 49916

Prime Factorization of 49929

Now multiplying the highest exponent prime factors to calculate the LCM of 49916 and 49929.

LCM(49916,49929) = 2² × 12479¹ × 3¹ × 11¹ × 17¹ × 89¹
LCM(49916,49929) = 2492255964