What is the Least Common Multiple of 71344 and 71360?

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 71360 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 71360, than apply into the LCM equation.

GCF(71344,71360) = 16
LCM(71344,71360) = ( 71344 × 71360) / 16
LCM(71344,71360) = 5091107840 / 16
LCM(71344,71360) = 318194240

Least Common Multiple (LCM) of 71344 and 71360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71344 and 71360. First we will calculate the prime factors of 71344 and 71360.

Prime Factorization of 71344

Prime Factorization of 71360

Now multiplying the highest exponent prime factors to calculate the LCM of 71344 and 71360.

LCM(71344,71360) = 2⁶ × 7³ × 13¹ × 5¹ × 223¹
LCM(71344,71360) = 318194240