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What is the Least Common Multiple of 95427 and 95447?

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 95427 and 95447 is 9108220869.

LCM(95427,95447) = 9108220869

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Least Common Multiple of 95427 and 95447 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95427 and 95447, than apply into the LCM equation.

GCF(95427,95447) = 1
LCM(95427,95447) = ( 95427 × 95447) / 1
LCM(95427,95447) = 9108220869 / 1
LCM(95427,95447) = 9108220869

Least Common Multiple (LCM) of 95427 and 95447 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95427 and 95447. First we will calculate the prime factors of 95427 and 95447.

Prime Factorization of 95427

Prime factors of 95427 are 3, 23, 461. Prime factorization of 95427 in exponential form is:

95427 = 32 × 231 × 4611

Prime Factorization of 95447

Prime factors of 95447 are 11, 8677. Prime factorization of 95447 in exponential form is:

95447 = 111 × 86771

Now multiplying the highest exponent prime factors to calculate the LCM of 95427 and 95447.

LCM(95427,95447) = 32 × 231 × 4611 × 111 × 86771
LCM(95427,95447) = 9108220869