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What is the Least Common Multiple of 66160 and 66166?

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 66166 is 2188771280.

LCM(66160,66166) = 2188771280

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Least Common Multiple of 66160 and 66166 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 66166, than apply into the LCM equation.

GCF(66160,66166) = 2
LCM(66160,66166) = ( 66160 × 66166) / 2
LCM(66160,66166) = 4377542560 / 2
LCM(66160,66166) = 2188771280

Least Common Multiple (LCM) of 66160 and 66166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66160 and 66166. First we will calculate the prime factors of 66160 and 66166.

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 66166

Prime factors of 66166 are 2, 33083. Prime factorization of 66166 in exponential form is:

66166 = 21 × 330831

Now multiplying the highest exponent prime factors to calculate the LCM of 66160 and 66166.

LCM(66160,66166) = 24 × 51 × 8271 × 330831
LCM(66160,66166) = 2188771280