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What is the Least Common Multiple of 86207 and 86226?

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 86207 and 86226 is 7433284782.

LCM(86207,86226) = 7433284782

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Least Common Multiple of 86207 and 86226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86207 and 86226, than apply into the LCM equation.

GCF(86207,86226) = 1
LCM(86207,86226) = ( 86207 × 86226) / 1
LCM(86207,86226) = 7433284782 / 1
LCM(86207,86226) = 7433284782

Least Common Multiple (LCM) of 86207 and 86226 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86207 and 86226. First we will calculate the prime factors of 86207 and 86226.

Prime Factorization of 86207

Prime factors of 86207 are 11, 17, 461. Prime factorization of 86207 in exponential form is:

86207 = 111 × 171 × 4611

Prime Factorization of 86226

Prime factors of 86226 are 2, 3, 7, 2053. Prime factorization of 86226 in exponential form is:

86226 = 21 × 31 × 71 × 20531

Now multiplying the highest exponent prime factors to calculate the LCM of 86207 and 86226.

LCM(86207,86226) = 111 × 171 × 4611 × 21 × 31 × 71 × 20531
LCM(86207,86226) = 7433284782