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What is the Least Common Multiple of 63161 and 63165?

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 63161 and 63165 is 3989564565.

LCM(63161,63165) = 3989564565

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Least Common Multiple of 63161 and 63165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63161 and 63165, than apply into the LCM equation.

GCF(63161,63165) = 1
LCM(63161,63165) = ( 63161 × 63165) / 1
LCM(63161,63165) = 3989564565 / 1
LCM(63161,63165) = 3989564565

Least Common Multiple (LCM) of 63161 and 63165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63161 and 63165. First we will calculate the prime factors of 63161 and 63165.

Prime Factorization of 63161

Prime factors of 63161 are 7, 1289. Prime factorization of 63161 in exponential form is:

63161 = 72 × 12891

Prime Factorization of 63165

Prime factors of 63165 are 3, 5, 4211. Prime factorization of 63165 in exponential form is:

63165 = 31 × 51 × 42111

Now multiplying the highest exponent prime factors to calculate the LCM of 63161 and 63165.

LCM(63161,63165) = 72 × 12891 × 31 × 51 × 42111
LCM(63161,63165) = 3989564565