What is the Least Common Multiple of 81408 and 81422?

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 81408 and 81422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81408 and 81422, than apply into the LCM equation.

GCF(81408,81422) = 2
LCM(81408,81422) = ( 81408 × 81422) / 2
LCM(81408,81422) = 6628402176 / 2
LCM(81408,81422) = 3314201088

Least Common Multiple (LCM) of 81408 and 81422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81408 and 81422. First we will calculate the prime factors of 81408 and 81422.

Prime Factorization of 81408

Prime Factorization of 81422

Now multiplying the highest exponent prime factors to calculate the LCM of 81408 and 81422.

LCM(81408,81422) = 2⁹ × 3¹ × 53¹ × 11¹ × 3701¹
LCM(81408,81422) = 3314201088