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What is the Least Common Multiple of 59207 and 59226?

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 59207 and 59226 is 3506593782.

LCM(59207,59226) = 3506593782

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Least Common Multiple of 59207 and 59226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59207 and 59226, than apply into the LCM equation.

GCF(59207,59226) = 1
LCM(59207,59226) = ( 59207 × 59226) / 1
LCM(59207,59226) = 3506593782 / 1
LCM(59207,59226) = 3506593782

Least Common Multiple (LCM) of 59207 and 59226 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59207 and 59226. First we will calculate the prime factors of 59207 and 59226.

Prime Factorization of 59207

Prime factors of 59207 are 59207. Prime factorization of 59207 in exponential form is:

59207 = 592071

Prime Factorization of 59226

Prime factors of 59226 are 2, 3, 9871. Prime factorization of 59226 in exponential form is:

59226 = 21 × 31 × 98711

Now multiplying the highest exponent prime factors to calculate the LCM of 59207 and 59226.

LCM(59207,59226) = 592071 × 21 × 31 × 98711
LCM(59207,59226) = 3506593782