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What is the Least Common Multiple of 66180 and 66186?

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 66180 and 66186 is 730031580.

LCM(66180,66186) = 730031580

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Least Common Multiple of 66180 and 66186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66180 and 66186, than apply into the LCM equation.

GCF(66180,66186) = 6
LCM(66180,66186) = ( 66180 × 66186) / 6
LCM(66180,66186) = 4380189480 / 6
LCM(66180,66186) = 730031580

Least Common Multiple (LCM) of 66180 and 66186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66180 and 66186. First we will calculate the prime factors of 66180 and 66186.

Prime Factorization of 66180

Prime factors of 66180 are 2, 3, 5, 1103. Prime factorization of 66180 in exponential form is:

66180 = 22 × 31 × 51 × 11031

Prime Factorization of 66186

Prime factors of 66186 are 2, 3, 3677. Prime factorization of 66186 in exponential form is:

66186 = 21 × 32 × 36771

Now multiplying the highest exponent prime factors to calculate the LCM of 66180 and 66186.

LCM(66180,66186) = 22 × 32 × 51 × 11031 × 36771
LCM(66180,66186) = 730031580