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What is the Least Common Multiple of 4364 and 4379?

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 4364 and 4379 is 19109956.

LCM(4364,4379) = 19109956

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Least Common Multiple of 4364 and 4379 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4364 and 4379, than apply into the LCM equation.

GCF(4364,4379) = 1
LCM(4364,4379) = ( 4364 × 4379) / 1
LCM(4364,4379) = 19109956 / 1
LCM(4364,4379) = 19109956

Least Common Multiple (LCM) of 4364 and 4379 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4364 and 4379. First we will calculate the prime factors of 4364 and 4379.

Prime Factorization of 4364

Prime factors of 4364 are 2, 1091. Prime factorization of 4364 in exponential form is:

4364 = 22 × 10911

Prime Factorization of 4379

Prime factors of 4379 are 29, 151. Prime factorization of 4379 in exponential form is:

4379 = 291 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 4364 and 4379.

LCM(4364,4379) = 22 × 10911 × 291 × 1511
LCM(4364,4379) = 19109956