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What is the Least Common Multiple of 97484 and 97489?

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 97484 and 97489 is 9503617676.

LCM(97484,97489) = 9503617676

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Least Common Multiple of 97484 and 97489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97484 and 97489, than apply into the LCM equation.

GCF(97484,97489) = 1
LCM(97484,97489) = ( 97484 × 97489) / 1
LCM(97484,97489) = 9503617676 / 1
LCM(97484,97489) = 9503617676

Least Common Multiple (LCM) of 97484 and 97489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97484 and 97489. First we will calculate the prime factors of 97484 and 97489.

Prime Factorization of 97484

Prime factors of 97484 are 2, 24371. Prime factorization of 97484 in exponential form is:

97484 = 22 × 243711

Prime Factorization of 97489

Prime factors of 97489 are 7, 19, 733. Prime factorization of 97489 in exponential form is:

97489 = 71 × 191 × 7331

Now multiplying the highest exponent prime factors to calculate the LCM of 97484 and 97489.

LCM(97484,97489) = 22 × 243711 × 71 × 191 × 7331
LCM(97484,97489) = 9503617676