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What is the Least Common Multiple of 95441 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 95441 and 95452 is 9110034332.

LCM(95441,95452) = 9110034332

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Least Common Multiple of 95441 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 95441 and 95452, than apply into the LCM equation.

GCF(95441,95452) = 1
LCM(95441,95452) = ( 95441 × 95452) / 1
LCM(95441,95452) = 9110034332 / 1
LCM(95441,95452) = 9110034332

Least Common Multiple (LCM) of 95441 and 95452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95441 and 95452. First we will calculate the prime factors of 95441 and 95452.

Prime Factorization of 95441

Prime factors of 95441 are 95441. Prime factorization of 95441 in exponential form is:

95441 = 954411

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 95441 and 95452.

LCM(95441,95452) = 954411 × 22 × 72 × 4871
LCM(95441,95452) = 9110034332