What is the Least Common Multiple of 27408 and 27422?

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 27408 and 27422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27408 and 27422, than apply into the LCM equation.

GCF(27408,27422) = 2
LCM(27408,27422) = ( 27408 × 27422) / 2
LCM(27408,27422) = 751582176 / 2
LCM(27408,27422) = 375791088

Least Common Multiple (LCM) of 27408 and 27422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27408 and 27422. First we will calculate the prime factors of 27408 and 27422.

Prime Factorization of 27408

Prime Factorization of 27422

Now multiplying the highest exponent prime factors to calculate the LCM of 27408 and 27422.

LCM(27408,27422) = 2⁴ × 3¹ × 571¹ × 13711¹
LCM(27408,27422) = 375791088