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What is the Least Common Multiple of 66472 and 66491?

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 66472 and 66491 is 4419789752.

LCM(66472,66491) = 4419789752

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Least Common Multiple of 66472 and 66491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66472 and 66491, than apply into the LCM equation.

GCF(66472,66491) = 1
LCM(66472,66491) = ( 66472 × 66491) / 1
LCM(66472,66491) = 4419789752 / 1
LCM(66472,66491) = 4419789752

Least Common Multiple (LCM) of 66472 and 66491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66472 and 66491. First we will calculate the prime factors of 66472 and 66491.

Prime Factorization of 66472

Prime factors of 66472 are 2, 7, 1187. Prime factorization of 66472 in exponential form is:

66472 = 23 × 71 × 11871

Prime Factorization of 66491

Prime factors of 66491 are 66491. Prime factorization of 66491 in exponential form is:

66491 = 664911

Now multiplying the highest exponent prime factors to calculate the LCM of 66472 and 66491.

LCM(66472,66491) = 23 × 71 × 11871 × 664911
LCM(66472,66491) = 4419789752