What is the Least Common Multiple of 49824 and 49842?

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 49824 and 49842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49824 and 49842, than apply into the LCM equation.

GCF(49824,49842) = 18
LCM(49824,49842) = ( 49824 × 49842) / 18
LCM(49824,49842) = 2483327808 / 18
LCM(49824,49842) = 137962656

Least Common Multiple (LCM) of 49824 and 49842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49824 and 49842. First we will calculate the prime factors of 49824 and 49842.

Prime Factorization of 49824

Prime Factorization of 49842

Now multiplying the highest exponent prime factors to calculate the LCM of 49824 and 49842.

LCM(49824,49842) = 2⁵ × 3³ × 173¹ × 13¹ × 71¹
LCM(49824,49842) = 137962656