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What is the Least Common Multiple of 86227 and 86244?

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 86244 is 7436561388.

LCM(86227,86244) = 7436561388

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Least Common Multiple of 86227 and 86244 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 86244, than apply into the LCM equation.

GCF(86227,86244) = 1
LCM(86227,86244) = ( 86227 × 86244) / 1
LCM(86227,86244) = 7436561388 / 1
LCM(86227,86244) = 7436561388

Least Common Multiple (LCM) of 86227 and 86244 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86227 and 86244. First we will calculate the prime factors of 86227 and 86244.

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 86244

Prime factors of 86244 are 2, 3, 7187. Prime factorization of 86244 in exponential form is:

86244 = 22 × 31 × 71871

Now multiplying the highest exponent prime factors to calculate the LCM of 86227 and 86244.

LCM(86227,86244) = 232 × 1631 × 22 × 31 × 71871
LCM(86227,86244) = 7436561388