What is the Least Common Multiple of 13710 and 13716?

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 13710 and 13716 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13710 and 13716, than apply into the LCM equation.

GCF(13710,13716) = 6
LCM(13710,13716) = ( 13710 × 13716) / 6
LCM(13710,13716) = 188046360 / 6
LCM(13710,13716) = 31341060

Least Common Multiple (LCM) of 13710 and 13716 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13710 and 13716. First we will calculate the prime factors of 13710 and 13716.

Prime Factorization of 13710

Prime Factorization of 13716

Now multiplying the highest exponent prime factors to calculate the LCM of 13710 and 13716.

LCM(13710,13716) = 2² × 3³ × 5¹ × 457¹ × 127¹
LCM(13710,13716) = 31341060