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What is the Least Common Multiple of 66246 and 66258?

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 66246 and 66258 is 731554578.

LCM(66246,66258) = 731554578

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Least Common Multiple of 66246 and 66258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66246 and 66258, than apply into the LCM equation.

GCF(66246,66258) = 6
LCM(66246,66258) = ( 66246 × 66258) / 6
LCM(66246,66258) = 4389327468 / 6
LCM(66246,66258) = 731554578

Least Common Multiple (LCM) of 66246 and 66258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66246 and 66258. First we will calculate the prime factors of 66246 and 66258.

Prime Factorization of 66246

Prime factors of 66246 are 2, 3, 61, 181. Prime factorization of 66246 in exponential form is:

66246 = 21 × 31 × 611 × 1811

Prime Factorization of 66258

Prime factors of 66258 are 2, 3, 409. Prime factorization of 66258 in exponential form is:

66258 = 21 × 34 × 4091

Now multiplying the highest exponent prime factors to calculate the LCM of 66246 and 66258.

LCM(66246,66258) = 21 × 34 × 611 × 1811 × 4091
LCM(66246,66258) = 731554578