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What is the Least Common Multiple of 66160 and 66165?

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 66165 is 875495280.

LCM(66160,66165) = 875495280

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Least Common Multiple of 66160 and 66165 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 66165, than apply into the LCM equation.

GCF(66160,66165) = 5
LCM(66160,66165) = ( 66160 × 66165) / 5
LCM(66160,66165) = 4377476400 / 5
LCM(66160,66165) = 875495280

Least Common Multiple (LCM) of 66160 and 66165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66160 and 66165. First we will calculate the prime factors of 66160 and 66165.

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 66165

Prime factors of 66165 are 3, 5, 11, 401. Prime factorization of 66165 in exponential form is:

66165 = 31 × 51 × 111 × 4011

Now multiplying the highest exponent prime factors to calculate the LCM of 66160 and 66165.

LCM(66160,66165) = 24 × 51 × 8271 × 31 × 111 × 4011
LCM(66160,66165) = 875495280