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What is the Least Common Multiple of 65130 and 65147?

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 65130 and 65147 is 4243024110.

LCM(65130,65147) = 4243024110

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Least Common Multiple of 65130 and 65147 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65130 and 65147, than apply into the LCM equation.

GCF(65130,65147) = 1
LCM(65130,65147) = ( 65130 × 65147) / 1
LCM(65130,65147) = 4243024110 / 1
LCM(65130,65147) = 4243024110

Least Common Multiple (LCM) of 65130 and 65147 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65130 and 65147. First we will calculate the prime factors of 65130 and 65147.

Prime Factorization of 65130

Prime factors of 65130 are 2, 3, 5, 13, 167. Prime factorization of 65130 in exponential form is:

65130 = 21 × 31 × 51 × 131 × 1671

Prime Factorization of 65147

Prime factors of 65147 are 65147. Prime factorization of 65147 in exponential form is:

65147 = 651471

Now multiplying the highest exponent prime factors to calculate the LCM of 65130 and 65147.

LCM(65130,65147) = 21 × 31 × 51 × 131 × 1671 × 651471
LCM(65130,65147) = 4243024110