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What is the Least Common Multiple of 65138 and 65145?

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 65138 and 65145 is 4243415010.

LCM(65138,65145) = 4243415010

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Least Common Multiple of 65138 and 65145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65138 and 65145, than apply into the LCM equation.

GCF(65138,65145) = 1
LCM(65138,65145) = ( 65138 × 65145) / 1
LCM(65138,65145) = 4243415010 / 1
LCM(65138,65145) = 4243415010

Least Common Multiple (LCM) of 65138 and 65145 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65138 and 65145. First we will calculate the prime factors of 65138 and 65145.

Prime Factorization of 65138

Prime factors of 65138 are 2, 32569. Prime factorization of 65138 in exponential form is:

65138 = 21 × 325691

Prime Factorization of 65145

Prime factors of 65145 are 3, 5, 43, 101. Prime factorization of 65145 in exponential form is:

65145 = 31 × 51 × 431 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 65138 and 65145.

LCM(65138,65145) = 21 × 325691 × 31 × 51 × 431 × 1011
LCM(65138,65145) = 4243415010