What is the Least Common Multiple of 84466 and 84480?

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 84466 and 84480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84466 and 84480, than apply into the LCM equation.

GCF(84466,84480) = 2
LCM(84466,84480) = ( 84466 × 84480) / 2
LCM(84466,84480) = 7135687680 / 2
LCM(84466,84480) = 3567843840

Least Common Multiple (LCM) of 84466 and 84480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84466 and 84480. First we will calculate the prime factors of 84466 and 84480.

Prime Factorization of 84466

Prime Factorization of 84480

Now multiplying the highest exponent prime factors to calculate the LCM of 84466 and 84480.

LCM(84466,84480) = 2⁹ × 157¹ × 269¹ × 3¹ × 5¹ × 11¹
LCM(84466,84480) = 3567843840