What is the Least Common Multiple of 24784 and 24802?

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 24784 and 24802 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24784 and 24802, than apply into the LCM equation.

GCF(24784,24802) = 2
LCM(24784,24802) = ( 24784 × 24802) / 2
LCM(24784,24802) = 614692768 / 2
LCM(24784,24802) = 307346384

Least Common Multiple (LCM) of 24784 and 24802 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24784 and 24802. First we will calculate the prime factors of 24784 and 24802.

Prime Factorization of 24784

Prime Factorization of 24802

Now multiplying the highest exponent prime factors to calculate the LCM of 24784 and 24802.

LCM(24784,24802) = 2⁴ × 1549¹ × 12401¹
LCM(24784,24802) = 307346384