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What is the Least Common Multiple of 65034 and 65045?

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 65034 and 65045 is 4230136530.

LCM(65034,65045) = 4230136530

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Least Common Multiple of 65034 and 65045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65034 and 65045, than apply into the LCM equation.

GCF(65034,65045) = 1
LCM(65034,65045) = ( 65034 × 65045) / 1
LCM(65034,65045) = 4230136530 / 1
LCM(65034,65045) = 4230136530

Least Common Multiple (LCM) of 65034 and 65045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65034 and 65045. First we will calculate the prime factors of 65034 and 65045.

Prime Factorization of 65034

Prime factors of 65034 are 2, 3, 3613. Prime factorization of 65034 in exponential form is:

65034 = 21 × 32 × 36131

Prime Factorization of 65045

Prime factors of 65045 are 5, 13009. Prime factorization of 65045 in exponential form is:

65045 = 51 × 130091

Now multiplying the highest exponent prime factors to calculate the LCM of 65034 and 65045.

LCM(65034,65045) = 21 × 32 × 36131 × 51 × 130091
LCM(65034,65045) = 4230136530