What is the Least Common Multiple of 84448 and 84468?

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 84448 and 84468 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84448 and 84468, than apply into the LCM equation.

GCF(84448,84468) = 4
LCM(84448,84468) = ( 84448 × 84468) / 4
LCM(84448,84468) = 7133153664 / 4
LCM(84448,84468) = 1783288416

Least Common Multiple (LCM) of 84448 and 84468 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84448 and 84468. First we will calculate the prime factors of 84448 and 84468.

Prime Factorization of 84448

Prime Factorization of 84468

Now multiplying the highest exponent prime factors to calculate the LCM of 84448 and 84468.

LCM(84448,84468) = 2⁵ × 7¹ × 13¹ × 29¹ × 3¹ × 7039¹
LCM(84448,84468) = 1783288416