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What is the Least Common Multiple of 95447 and 95452?

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 95447 and 95452 is 9110607044.

LCM(95447,95452) = 9110607044

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Least Common Multiple of 95447 and 95452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95447 and 95452, than apply into the LCM equation.

GCF(95447,95452) = 1
LCM(95447,95452) = ( 95447 × 95452) / 1
LCM(95447,95452) = 9110607044 / 1
LCM(95447,95452) = 9110607044

Least Common Multiple (LCM) of 95447 and 95452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95447 and 95452. First we will calculate the prime factors of 95447 and 95452.

Prime Factorization of 95447

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

95447 = 111 × 86771

Prime Factorization of 95452

Prime factors of 95452 are 2, 7, 487. Prime factorization of 95452 in exponential form is:

95452 = 22 × 72 × 4871

Now multiplying the highest exponent prime factors to calculate the LCM of 95447 and 95452.

LCM(95447,95452) = 111 × 86771 × 22 × 72 × 4871
LCM(95447,95452) = 9110607044