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What is the Least Common Multiple of 95817 and 95821?

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 95817 and 95821 is 9181280757.

LCM(95817,95821) = 9181280757

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Least Common Multiple of 95817 and 95821 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95817 and 95821, than apply into the LCM equation.

GCF(95817,95821) = 1
LCM(95817,95821) = ( 95817 × 95821) / 1
LCM(95817,95821) = 9181280757 / 1
LCM(95817,95821) = 9181280757

Least Common Multiple (LCM) of 95817 and 95821 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95817 and 95821. First we will calculate the prime factors of 95817 and 95821.

Prime Factorization of 95817

Prime factors of 95817 are 3, 19, 41. Prime factorization of 95817 in exponential form is:

95817 = 31 × 191 × 412

Prime Factorization of 95821

Prime factors of 95821 are 11, 31, 281. Prime factorization of 95821 in exponential form is:

95821 = 111 × 311 × 2811

Now multiplying the highest exponent prime factors to calculate the LCM of 95817 and 95821.

LCM(95817,95821) = 31 × 191 × 412 × 111 × 311 × 2811
LCM(95817,95821) = 9181280757