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What is the Least Common Multiple of 4347 and 4362?

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 4347 and 4362 is 6320538.

LCM(4347,4362) = 6320538

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Least Common Multiple of 4347 and 4362 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4347 and 4362, than apply into the LCM equation.

GCF(4347,4362) = 3
LCM(4347,4362) = ( 4347 × 4362) / 3
LCM(4347,4362) = 18961614 / 3
LCM(4347,4362) = 6320538

Least Common Multiple (LCM) of 4347 and 4362 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4347 and 4362. First we will calculate the prime factors of 4347 and 4362.

Prime Factorization of 4347

Prime factors of 4347 are 3, 7, 23. Prime factorization of 4347 in exponential form is:

4347 = 33 × 71 × 231

Prime Factorization of 4362

Prime factors of 4362 are 2, 3, 727. Prime factorization of 4362 in exponential form is:

4362 = 21 × 31 × 7271

Now multiplying the highest exponent prime factors to calculate the LCM of 4347 and 4362.

LCM(4347,4362) = 33 × 71 × 231 × 21 × 7271
LCM(4347,4362) = 6320538