What is the Least Common Multiple of 71344 and 71352?

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 71352 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 71352, than apply into the LCM equation.

GCF(71344,71352) = 8
LCM(71344,71352) = ( 71344 × 71352) / 8
LCM(71344,71352) = 5090537088 / 8
LCM(71344,71352) = 636317136

Least Common Multiple (LCM) of 71344 and 71352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71344 and 71352. First we will calculate the prime factors of 71344 and 71352.

Prime Factorization of 71344

Prime Factorization of 71352

Now multiplying the highest exponent prime factors to calculate the LCM of 71344 and 71352.

LCM(71344,71352) = 2⁴ × 7³ × 13¹ × 3² × 991¹
LCM(71344,71352) = 636317136