What is the Least Common Multiple of 59824 and 59838?

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 59824 and 59838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59824 and 59838, than apply into the LCM equation.

GCF(59824,59838) = 2
LCM(59824,59838) = ( 59824 × 59838) / 2
LCM(59824,59838) = 3579748512 / 2
LCM(59824,59838) = 1789874256

Least Common Multiple (LCM) of 59824 and 59838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59824 and 59838. First we will calculate the prime factors of 59824 and 59838.

Prime Factorization of 59824

Prime Factorization of 59838

Now multiplying the highest exponent prime factors to calculate the LCM of 59824 and 59838.

LCM(59824,59838) = 2⁴ × 3739¹ × 3¹ × 9973¹
LCM(59824,59838) = 1789874256