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What is the Least Common Multiple of 95353 and 95369?

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 95353 and 95369 is 9093720257.

LCM(95353,95369) = 9093720257

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Least Common Multiple of 95353 and 95369 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95353 and 95369, than apply into the LCM equation.

GCF(95353,95369) = 1
LCM(95353,95369) = ( 95353 × 95369) / 1
LCM(95353,95369) = 9093720257 / 1
LCM(95353,95369) = 9093720257

Least Common Multiple (LCM) of 95353 and 95369 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95353 and 95369. First we will calculate the prime factors of 95353 and 95369.

Prime Factorization of 95353

Prime factors of 95353 are 17, 71, 79. Prime factorization of 95353 in exponential form is:

95353 = 171 × 711 × 791

Prime Factorization of 95369

Prime factors of 95369 are 95369. Prime factorization of 95369 in exponential form is:

95369 = 953691

Now multiplying the highest exponent prime factors to calculate the LCM of 95353 and 95369.

LCM(95353,95369) = 171 × 711 × 791 × 953691
LCM(95353,95369) = 9093720257