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What is the Least Common Multiple of 66379 and 66397?

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 66379 and 66397 is 4407366463.

LCM(66379,66397) = 4407366463

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Least Common Multiple of 66379 and 66397 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66379 and 66397, than apply into the LCM equation.

GCF(66379,66397) = 1
LCM(66379,66397) = ( 66379 × 66397) / 1
LCM(66379,66397) = 4407366463 / 1
LCM(66379,66397) = 4407366463

Least Common Multiple (LCM) of 66379 and 66397 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66379 and 66397. First we will calculate the prime factors of 66379 and 66397.

Prime Factorization of 66379

Prime factors of 66379 are 41, 1619. Prime factorization of 66379 in exponential form is:

66379 = 411 × 16191

Prime Factorization of 66397

Prime factors of 66397 are 67, 991. Prime factorization of 66397 in exponential form is:

66397 = 671 × 9911

Now multiplying the highest exponent prime factors to calculate the LCM of 66379 and 66397.

LCM(66379,66397) = 411 × 16191 × 671 × 9911
LCM(66379,66397) = 4407366463