What is the Least Common Multiple of 84784 and 84802?

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 84784 and 84802 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84784 and 84802, than apply into the LCM equation.

GCF(84784,84802) = 2
LCM(84784,84802) = ( 84784 × 84802) / 2
LCM(84784,84802) = 7189852768 / 2
LCM(84784,84802) = 3594926384

Least Common Multiple (LCM) of 84784 and 84802 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84784 and 84802. First we will calculate the prime factors of 84784 and 84802.

Prime Factorization of 84784

Prime Factorization of 84802

Now multiplying the highest exponent prime factors to calculate the LCM of 84784 and 84802.

LCM(84784,84802) = 2⁴ × 7¹ × 757¹ × 109¹ × 389¹
LCM(84784,84802) = 3594926384