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What is the Least Common Multiple of 95444 and 95458?

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 95444 and 95458 is 4555446676.

LCM(95444,95458) = 4555446676

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Least Common Multiple of 95444 and 95458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95444 and 95458, than apply into the LCM equation.

GCF(95444,95458) = 2
LCM(95444,95458) = ( 95444 × 95458) / 2
LCM(95444,95458) = 9110893352 / 2
LCM(95444,95458) = 4555446676

Least Common Multiple (LCM) of 95444 and 95458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95444 and 95458. First we will calculate the prime factors of 95444 and 95458.

Prime Factorization of 95444

Prime factors of 95444 are 2, 107, 223. Prime factorization of 95444 in exponential form is:

95444 = 22 × 1071 × 2231

Prime Factorization of 95458

Prime factors of 95458 are 2, 11, 4339. Prime factorization of 95458 in exponential form is:

95458 = 21 × 111 × 43391

Now multiplying the highest exponent prime factors to calculate the LCM of 95444 and 95458.

LCM(95444,95458) = 22 × 1071 × 2231 × 111 × 43391
LCM(95444,95458) = 4555446676