What is the Least Common Multiple of 13789 and 13801?

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 13789 and 13801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13789 and 13801, than apply into the LCM equation.

GCF(13789,13801) = 1
LCM(13789,13801) = ( 13789 × 13801) / 1
LCM(13789,13801) = 190301989 / 1
LCM(13789,13801) = 190301989

Least Common Multiple (LCM) of 13789 and 13801 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13789 and 13801. First we will calculate the prime factors of 13789 and 13801.

Prime Factorization of 13789

Prime Factorization of 13801

Now multiplying the highest exponent prime factors to calculate the LCM of 13789 and 13801.

LCM(13789,13801) = 13789¹ × 37¹ × 373¹
LCM(13789,13801) = 190301989