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What is the Least Common Multiple of 65226 and 65242?

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 65242 is 2127737346.

LCM(65226,65242) = 2127737346

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Least Common Multiple of 65226 and 65242 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 65242, than apply into the LCM equation.

GCF(65226,65242) = 2
LCM(65226,65242) = ( 65226 × 65242) / 2
LCM(65226,65242) = 4255474692 / 2
LCM(65226,65242) = 2127737346

Least Common Multiple (LCM) of 65226 and 65242 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65226 and 65242. First we will calculate the prime factors of 65226 and 65242.

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 65242

Prime factors of 65242 are 2, 32621. Prime factorization of 65242 in exponential form is:

65242 = 21 × 326211

Now multiplying the highest exponent prime factors to calculate the LCM of 65226 and 65242.

LCM(65226,65242) = 21 × 31 × 71 × 15531 × 326211
LCM(65226,65242) = 2127737346