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What is the Least Common Multiple of 4365 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 4365 and 4379 is 19114335.

LCM(4365,4379) = 19114335

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Least Common Multiple of 4365 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 4365 and 4379, than apply into the LCM equation.

GCF(4365,4379) = 1
LCM(4365,4379) = ( 4365 × 4379) / 1
LCM(4365,4379) = 19114335 / 1
LCM(4365,4379) = 19114335

Least Common Multiple (LCM) of 4365 and 4379 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4365 and 4379. First we will calculate the prime factors of 4365 and 4379.

Prime Factorization of 4365

Prime factors of 4365 are 3, 5, 97. Prime factorization of 4365 in exponential form is:

4365 = 32 × 51 × 971

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 4365 and 4379.

LCM(4365,4379) = 32 × 51 × 971 × 291 × 1511
LCM(4365,4379) = 19114335