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What is the Least Common Multiple of 97447 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 97447 and 97453 is 9496502491.

LCM(97447,97453) = 9496502491

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Least Common Multiple of 97447 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 97447 and 97453, than apply into the LCM equation.

GCF(97447,97453) = 1
LCM(97447,97453) = ( 97447 × 97453) / 1
LCM(97447,97453) = 9496502491 / 1
LCM(97447,97453) = 9496502491

Least Common Multiple (LCM) of 97447 and 97453 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97447 and 97453. First we will calculate the prime factors of 97447 and 97453.

Prime Factorization of 97447

Prime factors of 97447 are 7, 13921. Prime factorization of 97447 in exponential form is:

97447 = 71 × 139211

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 97447 and 97453.

LCM(97447,97453) = 71 × 139211 × 974531
LCM(97447,97453) = 9496502491