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What is the Least Common Multiple of 88226 and 88230?

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 88226 and 88230 is 3892089990.

LCM(88226,88230) = 3892089990

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Least Common Multiple of 88226 and 88230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88226 and 88230, than apply into the LCM equation.

GCF(88226,88230) = 2
LCM(88226,88230) = ( 88226 × 88230) / 2
LCM(88226,88230) = 7784179980 / 2
LCM(88226,88230) = 3892089990

Least Common Multiple (LCM) of 88226 and 88230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88226 and 88230. First we will calculate the prime factors of 88226 and 88230.

Prime Factorization of 88226

Prime factors of 88226 are 2, 31, 1423. Prime factorization of 88226 in exponential form is:

88226 = 21 × 311 × 14231

Prime Factorization of 88230

Prime factors of 88230 are 2, 3, 5, 17, 173. Prime factorization of 88230 in exponential form is:

88230 = 21 × 31 × 51 × 171 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 88226 and 88230.

LCM(88226,88230) = 21 × 311 × 14231 × 31 × 51 × 171 × 1731
LCM(88226,88230) = 3892089990