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What is the Least Common Multiple of 95343 and 95358?

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 95343 and 95358 is 3030572598.

LCM(95343,95358) = 3030572598

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Least Common Multiple of 95343 and 95358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95343 and 95358, than apply into the LCM equation.

GCF(95343,95358) = 3
LCM(95343,95358) = ( 95343 × 95358) / 3
LCM(95343,95358) = 9091717794 / 3
LCM(95343,95358) = 3030572598

Least Common Multiple (LCM) of 95343 and 95358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95343 and 95358. First we will calculate the prime factors of 95343 and 95358.

Prime Factorization of 95343

Prime factors of 95343 are 3, 61, 521. Prime factorization of 95343 in exponential form is:

95343 = 31 × 611 × 5211

Prime Factorization of 95358

Prime factors of 95358 are 2, 3, 23, 691. Prime factorization of 95358 in exponential form is:

95358 = 21 × 31 × 231 × 6911

Now multiplying the highest exponent prime factors to calculate the LCM of 95343 and 95358.

LCM(95343,95358) = 31 × 611 × 5211 × 21 × 231 × 6911
LCM(95343,95358) = 3030572598