What is the Least Common Multiple of 13720 and 13732?

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 13720 and 13732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13720 and 13732, than apply into the LCM equation.

GCF(13720,13732) = 4
LCM(13720,13732) = ( 13720 × 13732) / 4
LCM(13720,13732) = 188403040 / 4
LCM(13720,13732) = 47100760

Least Common Multiple (LCM) of 13720 and 13732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13720 and 13732. First we will calculate the prime factors of 13720 and 13732.

Prime Factorization of 13720

Prime Factorization of 13732

Now multiplying the highest exponent prime factors to calculate the LCM of 13720 and 13732.

LCM(13720,13732) = 2³ × 5¹ × 7³ × 3433¹
LCM(13720,13732) = 47100760