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What is the Least Common Multiple of 4376 and 4386?

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 4376 and 4386 is 9596568.

LCM(4376,4386) = 9596568

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Least Common Multiple of 4376 and 4386 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4376 and 4386, than apply into the LCM equation.

GCF(4376,4386) = 2
LCM(4376,4386) = ( 4376 × 4386) / 2
LCM(4376,4386) = 19193136 / 2
LCM(4376,4386) = 9596568

Least Common Multiple (LCM) of 4376 and 4386 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4376 and 4386. First we will calculate the prime factors of 4376 and 4386.

Prime Factorization of 4376

Prime factors of 4376 are 2, 547. Prime factorization of 4376 in exponential form is:

4376 = 23 × 5471

Prime Factorization of 4386

Prime factors of 4386 are 2, 3, 17, 43. Prime factorization of 4386 in exponential form is:

4386 = 21 × 31 × 171 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 4376 and 4386.

LCM(4376,4386) = 23 × 5471 × 31 × 171 × 431
LCM(4376,4386) = 9596568