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What is the Least Common Multiple of 95477 and 95482?

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 95477 and 95482 is 9116334914.

LCM(95477,95482) = 9116334914

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Least Common Multiple of 95477 and 95482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95477 and 95482, than apply into the LCM equation.

GCF(95477,95482) = 1
LCM(95477,95482) = ( 95477 × 95482) / 1
LCM(95477,95482) = 9116334914 / 1
LCM(95477,95482) = 9116334914

Least Common Multiple (LCM) of 95477 and 95482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95477 and 95482. First we will calculate the prime factors of 95477 and 95482.

Prime Factorization of 95477

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

95477 = 3071 × 3111

Prime Factorization of 95482

Prime factors of 95482 are 2, 47741. Prime factorization of 95482 in exponential form is:

95482 = 21 × 477411

Now multiplying the highest exponent prime factors to calculate the LCM of 95477 and 95482.

LCM(95477,95482) = 3071 × 3111 × 21 × 477411
LCM(95477,95482) = 9116334914