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What is the Least Common Multiple of 4342 and 4361?

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 (LCM) of 4342 and 4361 is 18935462.

LCM(4342,4361) = 18935462

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Least Common Multiple of 4342 and 4361 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4342 and 4361, than apply into the LCM equation.

GCF(4342,4361) = 1
LCM(4342,4361) = ( 4342 × 4361) / 1
LCM(4342,4361) = 18935462 / 1
LCM(4342,4361) = 18935462

Least Common Multiple (LCM) of 4342 and 4361 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4342 and 4361. First we will calculate the prime factors of 4342 and 4361.

Prime Factorization of 4342

Prime factors of 4342 are 2, 13, 167. Prime factorization of 4342 in exponential form is:

4342 = 21 × 131 × 1671

Prime Factorization of 4361

Prime factors of 4361 are 7, 89. Prime factorization of 4361 in exponential form is:

4361 = 72 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 4342 and 4361.

LCM(4342,4361) = 21 × 131 × 1671 × 72 × 891
LCM(4342,4361) = 18935462