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What is the Least Common Multiple of 66157 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 66157 and 66165 is 4377277905.

LCM(66157,66165) = 4377277905

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Least Common Multiple of 66157 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 66157 and 66165, than apply into the LCM equation.

GCF(66157,66165) = 1
LCM(66157,66165) = ( 66157 × 66165) / 1
LCM(66157,66165) = 4377277905 / 1
LCM(66157,66165) = 4377277905

Least Common Multiple (LCM) of 66157 and 66165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66157 and 66165. First we will calculate the prime factors of 66157 and 66165.

Prime Factorization of 66157

Prime factors of 66157 are 7, 13, 727. Prime factorization of 66157 in exponential form is:

66157 = 71 × 131 × 7271

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 66157 and 66165.

LCM(66157,66165) = 71 × 131 × 7271 × 31 × 51 × 111 × 4011
LCM(66157,66165) = 4377277905