What is the Least Common Multiple of 23408 and 23422?

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 23408 and 23422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23408 and 23422, than apply into the LCM equation.

GCF(23408,23422) = 14
LCM(23408,23422) = ( 23408 × 23422) / 14
LCM(23408,23422) = 548262176 / 14
LCM(23408,23422) = 39161584

Least Common Multiple (LCM) of 23408 and 23422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23408 and 23422. First we will calculate the prime factors of 23408 and 23422.

Prime Factorization of 23408

Prime Factorization of 23422

Now multiplying the highest exponent prime factors to calculate the LCM of 23408 and 23422.

LCM(23408,23422) = 2⁴ × 7² × 11¹ × 19¹ × 239¹
LCM(23408,23422) = 39161584