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What is the Least Common Multiple of 4369 and 4376?

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 4369 and 4376 is 19118744.

LCM(4369,4376) = 19118744

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Least Common Multiple of 4369 and 4376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4369 and 4376, than apply into the LCM equation.

GCF(4369,4376) = 1
LCM(4369,4376) = ( 4369 × 4376) / 1
LCM(4369,4376) = 19118744 / 1
LCM(4369,4376) = 19118744

Least Common Multiple (LCM) of 4369 and 4376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4369 and 4376. First we will calculate the prime factors of 4369 and 4376.

Prime Factorization of 4369

Prime factors of 4369 are 17, 257. Prime factorization of 4369 in exponential form is:

4369 = 171 × 2571

Prime Factorization of 4376

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

4376 = 23 × 5471

Now multiplying the highest exponent prime factors to calculate the LCM of 4369 and 4376.

LCM(4369,4376) = 171 × 2571 × 23 × 5471
LCM(4369,4376) = 19118744