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What is the Least Common Multiple of 95338 and 95351?

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 95338 and 95351 is 9090573638.

LCM(95338,95351) = 9090573638

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Least Common Multiple of 95338 and 95351 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95338 and 95351, than apply into the LCM equation.

GCF(95338,95351) = 1
LCM(95338,95351) = ( 95338 × 95351) / 1
LCM(95338,95351) = 9090573638 / 1
LCM(95338,95351) = 9090573638

Least Common Multiple (LCM) of 95338 and 95351 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95338 and 95351. First we will calculate the prime factors of 95338 and 95351.

Prime Factorization of 95338

Prime factors of 95338 are 2, 73, 653. Prime factorization of 95338 in exponential form is:

95338 = 21 × 731 × 6531

Prime Factorization of 95351

Prime factors of 95351 are 97, 983. Prime factorization of 95351 in exponential form is:

95351 = 971 × 9831

Now multiplying the highest exponent prime factors to calculate the LCM of 95338 and 95351.

LCM(95338,95351) = 21 × 731 × 6531 × 971 × 9831
LCM(95338,95351) = 9090573638