What is the Least Common Multiple of 14722 and 14739?

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 14722 and 14739 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14722 and 14739, than apply into the LCM equation.

GCF(14722,14739) = 17
LCM(14722,14739) = ( 14722 × 14739) / 17
LCM(14722,14739) = 216987558 / 17
LCM(14722,14739) = 12763974

Least Common Multiple (LCM) of 14722 and 14739 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14722 and 14739. First we will calculate the prime factors of 14722 and 14739.

Prime Factorization of 14722

Prime Factorization of 14739

Now multiplying the highest exponent prime factors to calculate the LCM of 14722 and 14739.

LCM(14722,14739) = 2¹ × 17³ × 433¹ × 3¹
LCM(14722,14739) = 12763974