What is the Least Common Multiple of 13702 and 13721?

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 13702 and 13721 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13702 and 13721, than apply into the LCM equation.

GCF(13702,13721) = 1
LCM(13702,13721) = ( 13702 × 13721) / 1
LCM(13702,13721) = 188005142 / 1
LCM(13702,13721) = 188005142

Least Common Multiple (LCM) of 13702 and 13721 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13702 and 13721. First we will calculate the prime factors of 13702 and 13721.

Prime Factorization of 13702

Prime Factorization of 13721

Now multiplying the highest exponent prime factors to calculate the LCM of 13702 and 13721.

LCM(13702,13721) = 2¹ × 13¹ × 17¹ × 31¹ × 13721¹
LCM(13702,13721) = 188005142