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What is the Least Common Multiple of 65130 and 65143?

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 65143 is 326366430.

LCM(65130,65143) = 326366430

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Least Common Multiple of 65130 and 65143 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 65143, than apply into the LCM equation.

GCF(65130,65143) = 13
LCM(65130,65143) = ( 65130 × 65143) / 13
LCM(65130,65143) = 4242763590 / 13
LCM(65130,65143) = 326366430

Least Common Multiple (LCM) of 65130 and 65143 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65130 and 65143. First we will calculate the prime factors of 65130 and 65143.

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 65143

Prime factors of 65143 are 13, 5011. Prime factorization of 65143 in exponential form is:

65143 = 131 × 50111

Now multiplying the highest exponent prime factors to calculate the LCM of 65130 and 65143.

LCM(65130,65143) = 21 × 31 × 51 × 131 × 1671 × 50111
LCM(65130,65143) = 326366430