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What is the Least Common Multiple of 97445 and 97453?

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 97445 and 97453 is 9496307585.

LCM(97445,97453) = 9496307585

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Least Common Multiple of 97445 and 97453 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97445 and 97453, than apply into the LCM equation.

GCF(97445,97453) = 1
LCM(97445,97453) = ( 97445 × 97453) / 1
LCM(97445,97453) = 9496307585 / 1
LCM(97445,97453) = 9496307585

Least Common Multiple (LCM) of 97445 and 97453 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97445 and 97453. First we will calculate the prime factors of 97445 and 97453.

Prime Factorization of 97445

Prime factors of 97445 are 5, 19489. Prime factorization of 97445 in exponential form is:

97445 = 51 × 194891

Prime Factorization of 97453

Prime factors of 97453 are 97453. Prime factorization of 97453 in exponential form is:

97453 = 974531

Now multiplying the highest exponent prime factors to calculate the LCM of 97445 and 97453.

LCM(97445,97453) = 51 × 194891 × 974531
LCM(97445,97453) = 9496307585