What is the Least Common Multiple of 71344 and 71348?

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 71344 and 71348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71344 and 71348, than apply into the LCM equation.

GCF(71344,71348) = 4
LCM(71344,71348) = ( 71344 × 71348) / 4
LCM(71344,71348) = 5090251712 / 4
LCM(71344,71348) = 1272562928

Least Common Multiple (LCM) of 71344 and 71348 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71344 and 71348. First we will calculate the prime factors of 71344 and 71348.

Prime Factorization of 71344

Prime Factorization of 71348

Now multiplying the highest exponent prime factors to calculate the LCM of 71344 and 71348.

LCM(71344,71348) = 2⁴ × 7³ × 13¹ × 17837¹
LCM(71344,71348) = 1272562928