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What is the Least Common Multiple of 95343 and 95355?

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 95355 is 3030477255.

LCM(95343,95355) = 3030477255

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Least Common Multiple of 95343 and 95355 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 95355, than apply into the LCM equation.

GCF(95343,95355) = 3
LCM(95343,95355) = ( 95343 × 95355) / 3
LCM(95343,95355) = 9091431765 / 3
LCM(95343,95355) = 3030477255

Least Common Multiple (LCM) of 95343 and 95355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95343 and 95355. First we will calculate the prime factors of 95343 and 95355.

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 95355

Prime factors of 95355 are 3, 5, 13, 163. Prime factorization of 95355 in exponential form is:

95355 = 32 × 51 × 131 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 95343 and 95355.

LCM(95343,95355) = 32 × 611 × 5211 × 51 × 131 × 1631
LCM(95343,95355) = 3030477255