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What is the Least Common Multiple of 87227 and 87243?

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 87227 and 87243 is 7609945161.

LCM(87227,87243) = 7609945161

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Least Common Multiple of 87227 and 87243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87227 and 87243, than apply into the LCM equation.

GCF(87227,87243) = 1
LCM(87227,87243) = ( 87227 × 87243) / 1
LCM(87227,87243) = 7609945161 / 1
LCM(87227,87243) = 7609945161

Least Common Multiple (LCM) of 87227 and 87243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87227 and 87243. First we will calculate the prime factors of 87227 and 87243.

Prime Factorization of 87227

Prime factors of 87227 are 7, 17, 733. Prime factorization of 87227 in exponential form is:

87227 = 71 × 171 × 7331

Prime Factorization of 87243

Prime factors of 87243 are 3, 13, 2237. Prime factorization of 87243 in exponential form is:

87243 = 31 × 131 × 22371

Now multiplying the highest exponent prime factors to calculate the LCM of 87227 and 87243.

LCM(87227,87243) = 71 × 171 × 7331 × 31 × 131 × 22371
LCM(87227,87243) = 7609945161