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What is the Least Common Multiple of 95441 and 95445?

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 95445 is 9109366245.

LCM(95441,95445) = 9109366245

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Least Common Multiple of 95441 and 95445 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 95445, than apply into the LCM equation.

GCF(95441,95445) = 1
LCM(95441,95445) = ( 95441 × 95445) / 1
LCM(95441,95445) = 9109366245 / 1
LCM(95441,95445) = 9109366245

Least Common Multiple (LCM) of 95441 and 95445 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95441 and 95445. First we will calculate the prime factors of 95441 and 95445.

Prime Factorization of 95441

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

95441 = 954411

Prime Factorization of 95445

Prime factors of 95445 are 3, 5, 7, 101. Prime factorization of 95445 in exponential form is:

95445 = 33 × 51 × 71 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 95441 and 95445.

LCM(95441,95445) = 954411 × 33 × 51 × 71 × 1011
LCM(95441,95445) = 9109366245