What is the Least Common Multiple of 14740 and 14749?

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 14740 and 14749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14740 and 14749, than apply into the LCM equation.

GCF(14740,14749) = 1
LCM(14740,14749) = ( 14740 × 14749) / 1
LCM(14740,14749) = 217400260 / 1
LCM(14740,14749) = 217400260

Least Common Multiple (LCM) of 14740 and 14749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14740 and 14749. First we will calculate the prime factors of 14740 and 14749.

Prime Factorization of 14740

Prime Factorization of 14749

Now multiplying the highest exponent prime factors to calculate the LCM of 14740 and 14749.

LCM(14740,14749) = 2² × 5¹ × 11¹ × 67¹ × 7³ × 43¹
LCM(14740,14749) = 217400260