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What is the Least Common Multiple of 95606 and 95621?

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 95606 and 95621 is 9141941326.

LCM(95606,95621) = 9141941326

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Least Common Multiple of 95606 and 95621 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95606 and 95621, than apply into the LCM equation.

GCF(95606,95621) = 1
LCM(95606,95621) = ( 95606 × 95621) / 1
LCM(95606,95621) = 9141941326 / 1
LCM(95606,95621) = 9141941326

Least Common Multiple (LCM) of 95606 and 95621 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95606 and 95621. First we will calculate the prime factors of 95606 and 95621.

Prime Factorization of 95606

Prime factors of 95606 are 2, 7, 6829. Prime factorization of 95606 in exponential form is:

95606 = 21 × 71 × 68291

Prime Factorization of 95621

Prime factors of 95621 are 95621. Prime factorization of 95621 in exponential form is:

95621 = 956211

Now multiplying the highest exponent prime factors to calculate the LCM of 95606 and 95621.

LCM(95606,95621) = 21 × 71 × 68291 × 956211
LCM(95606,95621) = 9141941326