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What is the Least Common Multiple of 66364 and 66377?

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 66364 and 66377 is 4405043228.

LCM(66364,66377) = 4405043228

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Least Common Multiple of 66364 and 66377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66364 and 66377, than apply into the LCM equation.

GCF(66364,66377) = 1
LCM(66364,66377) = ( 66364 × 66377) / 1
LCM(66364,66377) = 4405043228 / 1
LCM(66364,66377) = 4405043228

Least Common Multiple (LCM) of 66364 and 66377 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66364 and 66377. First we will calculate the prime factors of 66364 and 66377.

Prime Factorization of 66364

Prime factors of 66364 are 2, 47, 353. Prime factorization of 66364 in exponential form is:

66364 = 22 × 471 × 3531

Prime Factorization of 66377

Prime factors of 66377 are 66377. Prime factorization of 66377 in exponential form is:

66377 = 663771

Now multiplying the highest exponent prime factors to calculate the LCM of 66364 and 66377.

LCM(66364,66377) = 22 × 471 × 3531 × 663771
LCM(66364,66377) = 4405043228