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What is the Least Common Multiple of 65026 and 65039?

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 65026 and 65039 is 325325078.

LCM(65026,65039) = 325325078

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Least Common Multiple of 65026 and 65039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65026 and 65039, than apply into the LCM equation.

GCF(65026,65039) = 13
LCM(65026,65039) = ( 65026 × 65039) / 13
LCM(65026,65039) = 4229226014 / 13
LCM(65026,65039) = 325325078

Least Common Multiple (LCM) of 65026 and 65039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65026 and 65039. First we will calculate the prime factors of 65026 and 65039.

Prime Factorization of 65026

Prime factors of 65026 are 2, 13, 41, 61. Prime factorization of 65026 in exponential form is:

65026 = 21 × 131 × 411 × 611

Prime Factorization of 65039

Prime factors of 65039 are 13, 5003. Prime factorization of 65039 in exponential form is:

65039 = 131 × 50031

Now multiplying the highest exponent prime factors to calculate the LCM of 65026 and 65039.

LCM(65026,65039) = 21 × 131 × 411 × 611 × 50031
LCM(65026,65039) = 325325078