What is the Least Common Multiple of 13716 and 13734?

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 13716 and 13734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13716 and 13734, than apply into the LCM equation.

GCF(13716,13734) = 18
LCM(13716,13734) = ( 13716 × 13734) / 18
LCM(13716,13734) = 188375544 / 18
LCM(13716,13734) = 10465308

Least Common Multiple (LCM) of 13716 and 13734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13716 and 13734. First we will calculate the prime factors of 13716 and 13734.

Prime Factorization of 13716

Prime Factorization of 13734

Now multiplying the highest exponent prime factors to calculate the LCM of 13716 and 13734.

LCM(13716,13734) = 2² × 3³ × 127¹ × 7¹ × 109¹
LCM(13716,13734) = 10465308