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What is the Least Common Multiple of 66714 and 66718?

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 66714 and 66718 is 2225512326.

LCM(66714,66718) = 2225512326

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Least Common Multiple of 66714 and 66718 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66714 and 66718, than apply into the LCM equation.

GCF(66714,66718) = 2
LCM(66714,66718) = ( 66714 × 66718) / 2
LCM(66714,66718) = 4451024652 / 2
LCM(66714,66718) = 2225512326

Least Common Multiple (LCM) of 66714 and 66718 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66714 and 66718. First we will calculate the prime factors of 66714 and 66718.

Prime Factorization of 66714

Prime factors of 66714 are 2, 3, 11119. Prime factorization of 66714 in exponential form is:

66714 = 21 × 31 × 111191

Prime Factorization of 66718

Prime factors of 66718 are 2, 33359. Prime factorization of 66718 in exponential form is:

66718 = 21 × 333591

Now multiplying the highest exponent prime factors to calculate the LCM of 66714 and 66718.

LCM(66714,66718) = 21 × 31 × 111191 × 333591
LCM(66714,66718) = 2225512326