What is the Least Common Multiple of 32344 and 32348?

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 32344 and 32348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32344 and 32348, than apply into the LCM equation.

GCF(32344,32348) = 4
LCM(32344,32348) = ( 32344 × 32348) / 4
LCM(32344,32348) = 1046263712 / 4
LCM(32344,32348) = 261565928

Least Common Multiple (LCM) of 32344 and 32348 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32344 and 32348. First we will calculate the prime factors of 32344 and 32348.

Prime Factorization of 32344

Prime Factorization of 32348

Now multiplying the highest exponent prime factors to calculate the LCM of 32344 and 32348.

LCM(32344,32348) = 2³ × 13¹ × 311¹ × 8087¹
LCM(32344,32348) = 261565928