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What is the Least Common Multiple of 95458 and 95477?

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 95458 and 95477 is 9114043466.

LCM(95458,95477) = 9114043466

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Least Common Multiple of 95458 and 95477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95458 and 95477, than apply into the LCM equation.

GCF(95458,95477) = 1
LCM(95458,95477) = ( 95458 × 95477) / 1
LCM(95458,95477) = 9114043466 / 1
LCM(95458,95477) = 9114043466

Least Common Multiple (LCM) of 95458 and 95477 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95458 and 95477. First we will calculate the prime factors of 95458 and 95477.

Prime Factorization of 95458

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

95458 = 21 × 111 × 43391

Prime Factorization of 95477

Prime factors of 95477 are 307, 311. Prime factorization of 95477 in exponential form is:

95477 = 3071 × 3111

Now multiplying the highest exponent prime factors to calculate the LCM of 95458 and 95477.

LCM(95458,95477) = 21 × 111 × 43391 × 3071 × 3111
LCM(95458,95477) = 9114043466