What is the Least Common Multiple of 13710 and 13726?

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 13726 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 13726, than apply into the LCM equation.

GCF(13710,13726) = 2
LCM(13710,13726) = ( 13710 × 13726) / 2
LCM(13710,13726) = 188183460 / 2
LCM(13710,13726) = 94091730

Least Common Multiple (LCM) of 13710 and 13726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13710 and 13726. First we will calculate the prime factors of 13710 and 13726.

Prime Factorization of 13710

Prime Factorization of 13726

Now multiplying the highest exponent prime factors to calculate the LCM of 13710 and 13726.

LCM(13710,13726) = 2¹ × 3¹ × 5¹ × 457¹ × 6863¹
LCM(13710,13726) = 94091730