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What is the Least Common Multiple of 90211 and 90226?

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 90211 and 90226 is 8139377686.

LCM(90211,90226) = 8139377686

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Least Common Multiple of 90211 and 90226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90211 and 90226, than apply into the LCM equation.

GCF(90211,90226) = 1
LCM(90211,90226) = ( 90211 × 90226) / 1
LCM(90211,90226) = 8139377686 / 1
LCM(90211,90226) = 8139377686

Least Common Multiple (LCM) of 90211 and 90226 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90211 and 90226. First we will calculate the prime factors of 90211 and 90226.

Prime Factorization of 90211

Prime factors of 90211 are 11, 59, 139. Prime factorization of 90211 in exponential form is:

90211 = 111 × 591 × 1391

Prime Factorization of 90226

Prime factors of 90226 are 2, 197, 229. Prime factorization of 90226 in exponential form is:

90226 = 21 × 1971 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 90211 and 90226.

LCM(90211,90226) = 111 × 591 × 1391 × 21 × 1971 × 2291
LCM(90211,90226) = 8139377686