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What is the Least Common Multiple of 65226 and 65239?

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 65226 and 65239 is 4255279014.

LCM(65226,65239) = 4255279014

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Least Common Multiple of 65226 and 65239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65226 and 65239, than apply into the LCM equation.

GCF(65226,65239) = 1
LCM(65226,65239) = ( 65226 × 65239) / 1
LCM(65226,65239) = 4255279014 / 1
LCM(65226,65239) = 4255279014

Least Common Multiple (LCM) of 65226 and 65239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65226 and 65239. First we will calculate the prime factors of 65226 and 65239.

Prime Factorization of 65226

Prime factors of 65226 are 2, 3, 7, 1553. Prime factorization of 65226 in exponential form is:

65226 = 21 × 31 × 71 × 15531

Prime Factorization of 65239

Prime factors of 65239 are 65239. Prime factorization of 65239 in exponential form is:

65239 = 652391

Now multiplying the highest exponent prime factors to calculate the LCM of 65226 and 65239.

LCM(65226,65239) = 21 × 31 × 71 × 15531 × 652391
LCM(65226,65239) = 4255279014