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What is the Least Common Multiple of 66597 and 66601?

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 66597 and 66601 is 4435426797.

LCM(66597,66601) = 4435426797

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Least Common Multiple of 66597 and 66601 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66597 and 66601, than apply into the LCM equation.

GCF(66597,66601) = 1
LCM(66597,66601) = ( 66597 × 66601) / 1
LCM(66597,66601) = 4435426797 / 1
LCM(66597,66601) = 4435426797

Least Common Multiple (LCM) of 66597 and 66601 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66597 and 66601. First we will calculate the prime factors of 66597 and 66601.

Prime Factorization of 66597

Prime factors of 66597 are 3, 79, 281. Prime factorization of 66597 in exponential form is:

66597 = 31 × 791 × 2811

Prime Factorization of 66601

Prime factors of 66601 are 66601. Prime factorization of 66601 in exponential form is:

66601 = 666011

Now multiplying the highest exponent prime factors to calculate the LCM of 66597 and 66601.

LCM(66597,66601) = 31 × 791 × 2811 × 666011
LCM(66597,66601) = 4435426797