What is the Least Common Multiple of 17739 and 17746?

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 17739 and 17746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17739 and 17746, than apply into the LCM equation.

GCF(17739,17746) = 1
LCM(17739,17746) = ( 17739 × 17746) / 1
LCM(17739,17746) = 314796294 / 1
LCM(17739,17746) = 314796294

Least Common Multiple (LCM) of 17739 and 17746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17739 and 17746. First we will calculate the prime factors of 17739 and 17746.

Prime Factorization of 17739

Prime Factorization of 17746

Now multiplying the highest exponent prime factors to calculate the LCM of 17739 and 17746.

LCM(17739,17746) = 3⁵ × 73¹ × 2¹ × 19¹ × 467¹
LCM(17739,17746) = 314796294