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What is the Least Common Multiple of 66160 and 66180?

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 66160 and 66180 is 218923440.

LCM(66160,66180) = 218923440

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Least Common Multiple of 66160 and 66180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66160 and 66180, than apply into the LCM equation.

GCF(66160,66180) = 20
LCM(66160,66180) = ( 66160 × 66180) / 20
LCM(66160,66180) = 4378468800 / 20
LCM(66160,66180) = 218923440

Least Common Multiple (LCM) of 66160 and 66180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66160 and 66180. First we will calculate the prime factors of 66160 and 66180.

Prime Factorization of 66160

Prime factors of 66160 are 2, 5, 827. Prime factorization of 66160 in exponential form is:

66160 = 24 × 51 × 8271

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

Now multiplying the highest exponent prime factors to calculate the LCM of 66160 and 66180.

LCM(66160,66180) = 24 × 51 × 8271 × 31 × 11031
LCM(66160,66180) = 218923440