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What is the Least Common Multiple of 66649 and 66659?

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 66649 and 66659 is 4442755691.

LCM(66649,66659) = 4442755691

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Least Common Multiple of 66649 and 66659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66649 and 66659, than apply into the LCM equation.

GCF(66649,66659) = 1
LCM(66649,66659) = ( 66649 × 66659) / 1
LCM(66649,66659) = 4442755691 / 1
LCM(66649,66659) = 4442755691

Least Common Multiple (LCM) of 66649 and 66659 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66649 and 66659. First we will calculate the prime factors of 66649 and 66659.

Prime Factorization of 66649

Prime factors of 66649 are 11, 73, 83. Prime factorization of 66649 in exponential form is:

66649 = 111 × 731 × 831

Prime Factorization of 66659

Prime factors of 66659 are 191, 349. Prime factorization of 66659 in exponential form is:

66659 = 1911 × 3491

Now multiplying the highest exponent prime factors to calculate the LCM of 66649 and 66659.

LCM(66649,66659) = 111 × 731 × 831 × 1911 × 3491
LCM(66649,66659) = 4442755691