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What is the Least Common Multiple of 86227 and 86236?

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 86227 and 86236 is 7435871572.

LCM(86227,86236) = 7435871572

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Least Common Multiple of 86227 and 86236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86227 and 86236, than apply into the LCM equation.

GCF(86227,86236) = 1
LCM(86227,86236) = ( 86227 × 86236) / 1
LCM(86227,86236) = 7435871572 / 1
LCM(86227,86236) = 7435871572

Least Common Multiple (LCM) of 86227 and 86236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86227 and 86236. First we will calculate the prime factors of 86227 and 86236.

Prime Factorization of 86227

Prime factors of 86227 are 23, 163. Prime factorization of 86227 in exponential form is:

86227 = 232 × 1631

Prime Factorization of 86236

Prime factors of 86236 are 2, 21559. Prime factorization of 86236 in exponential form is:

86236 = 22 × 215591

Now multiplying the highest exponent prime factors to calculate the LCM of 86227 and 86236.

LCM(86227,86236) = 232 × 1631 × 22 × 215591
LCM(86227,86236) = 7435871572