What is the Least Common Multiple of 4340 and 4349?

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 4340 and 4349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4340 and 4349, than apply into the LCM equation.

GCF(4340,4349) = 1
LCM(4340,4349) = ( 4340 × 4349) / 1
LCM(4340,4349) = 18874660 / 1
LCM(4340,4349) = 18874660

Least Common Multiple (LCM) of 4340 and 4349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4340 and 4349. First we will calculate the prime factors of 4340 and 4349.

Prime Factorization of 4340

Prime Factorization of 4349

Now multiplying the highest exponent prime factors to calculate the LCM of 4340 and 4349.

LCM(4340,4349) = 2² × 5¹ × 7¹ × 31¹ × 4349¹
LCM(4340,4349) = 18874660