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What is the Least Common Multiple of 95513 and 95522?

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 95513 and 95522 is 9123592786.

LCM(95513,95522) = 9123592786

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Least Common Multiple of 95513 and 95522 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95513 and 95522, than apply into the LCM equation.

GCF(95513,95522) = 1
LCM(95513,95522) = ( 95513 × 95522) / 1
LCM(95513,95522) = 9123592786 / 1
LCM(95513,95522) = 9123592786

Least Common Multiple (LCM) of 95513 and 95522 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95513 and 95522. First we will calculate the prime factors of 95513 and 95522.

Prime Factorization of 95513

Prime factors of 95513 are 11, 19, 457. Prime factorization of 95513 in exponential form is:

95513 = 111 × 191 × 4571

Prime Factorization of 95522

Prime factors of 95522 are 2, 7, 6823. Prime factorization of 95522 in exponential form is:

95522 = 21 × 71 × 68231

Now multiplying the highest exponent prime factors to calculate the LCM of 95513 and 95522.

LCM(95513,95522) = 111 × 191 × 4571 × 21 × 71 × 68231
LCM(95513,95522) = 9123592786