What is the Least Common Multiple of 13712 and 13731?

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 13712 and 13731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13712 and 13731, than apply into the LCM equation.

GCF(13712,13731) = 1
LCM(13712,13731) = ( 13712 × 13731) / 1
LCM(13712,13731) = 188279472 / 1
LCM(13712,13731) = 188279472

Least Common Multiple (LCM) of 13712 and 13731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13712 and 13731. First we will calculate the prime factors of 13712 and 13731.

Prime Factorization of 13712

Prime Factorization of 13731

Now multiplying the highest exponent prime factors to calculate the LCM of 13712 and 13731.

LCM(13712,13731) = 2⁴ × 857¹ × 3¹ × 23¹ × 199¹
LCM(13712,13731) = 188279472