What is the Least Common Multiple of 84492 and 84496?

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 84492 and 84496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84492 and 84496, than apply into the LCM equation.

GCF(84492,84496) = 4
LCM(84492,84496) = ( 84492 × 84496) / 4
LCM(84492,84496) = 7139236032 / 4
LCM(84492,84496) = 1784809008

Least Common Multiple (LCM) of 84492 and 84496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84492 and 84496. First we will calculate the prime factors of 84492 and 84496.

Prime Factorization of 84492

Prime Factorization of 84496

Now multiplying the highest exponent prime factors to calculate the LCM of 84492 and 84496.

LCM(84492,84496) = 2⁴ × 3² × 2347¹ × 5281¹
LCM(84492,84496) = 1784809008