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What is the Least Common Multiple of 97441 and 97456?

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 97441 and 97456 is 9496210096.

LCM(97441,97456) = 9496210096

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Least Common Multiple of 97441 and 97456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97441 and 97456, than apply into the LCM equation.

GCF(97441,97456) = 1
LCM(97441,97456) = ( 97441 × 97456) / 1
LCM(97441,97456) = 9496210096 / 1
LCM(97441,97456) = 9496210096

Least Common Multiple (LCM) of 97441 and 97456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97441 and 97456. First we will calculate the prime factors of 97441 and 97456.

Prime Factorization of 97441

Prime factors of 97441 are 97441. Prime factorization of 97441 in exponential form is:

97441 = 974411

Prime Factorization of 97456

Prime factors of 97456 are 2, 6091. Prime factorization of 97456 in exponential form is:

97456 = 24 × 60911

Now multiplying the highest exponent prime factors to calculate the LCM of 97441 and 97456.

LCM(97441,97456) = 974411 × 24 × 60911
LCM(97441,97456) = 9496210096