What is the Least Common Multiple of 14749 and 14761?

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 14749 and 14761 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14749 and 14761, than apply into the LCM equation.

GCF(14749,14761) = 1
LCM(14749,14761) = ( 14749 × 14761) / 1
LCM(14749,14761) = 217709989 / 1
LCM(14749,14761) = 217709989

Least Common Multiple (LCM) of 14749 and 14761 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14749 and 14761. First we will calculate the prime factors of 14749 and 14761.

Prime Factorization of 14749

Prime Factorization of 14761

Now multiplying the highest exponent prime factors to calculate the LCM of 14749 and 14761.

LCM(14749,14761) = 7³ × 43¹ × 29¹ × 509¹
LCM(14749,14761) = 217709989