What is the Least Common Multiple of 13710 and 13729?

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 13729 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 13729, than apply into the LCM equation.

GCF(13710,13729) = 1
LCM(13710,13729) = ( 13710 × 13729) / 1
LCM(13710,13729) = 188224590 / 1
LCM(13710,13729) = 188224590

Least Common Multiple (LCM) of 13710 and 13729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13710 and 13729. First we will calculate the prime factors of 13710 and 13729.

Prime Factorization of 13710

Prime Factorization of 13729

Now multiplying the highest exponent prime factors to calculate the LCM of 13710 and 13729.

LCM(13710,13729) = 2¹ × 3¹ × 5¹ × 457¹ × 13729¹
LCM(13710,13729) = 188224590