What is the Least Common Multiple of 13750 and 13761?

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 13750 and 13761 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13750 and 13761, than apply into the LCM equation.

GCF(13750,13761) = 11
LCM(13750,13761) = ( 13750 × 13761) / 11
LCM(13750,13761) = 189213750 / 11
LCM(13750,13761) = 17201250

Least Common Multiple (LCM) of 13750 and 13761 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13750 and 13761. First we will calculate the prime factors of 13750 and 13761.

Prime Factorization of 13750

Prime Factorization of 13761

Now multiplying the highest exponent prime factors to calculate the LCM of 13750 and 13761.

LCM(13750,13761) = 2¹ × 5⁴ × 11¹ × 3² × 139¹
LCM(13750,13761) = 17201250