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What is the Least Common Multiple of 97477 and 97491?

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 97477 and 97491 is 9503130207.

LCM(97477,97491) = 9503130207

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Least Common Multiple of 97477 and 97491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97477 and 97491, than apply into the LCM equation.

GCF(97477,97491) = 1
LCM(97477,97491) = ( 97477 × 97491) / 1
LCM(97477,97491) = 9503130207 / 1
LCM(97477,97491) = 9503130207

Least Common Multiple (LCM) of 97477 and 97491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97477 and 97491. First we will calculate the prime factors of 97477 and 97491.

Prime Factorization of 97477

Prime factors of 97477 are 107, 911. Prime factorization of 97477 in exponential form is:

97477 = 1071 × 9111

Prime Factorization of 97491

Prime factors of 97491 are 3, 32497. Prime factorization of 97491 in exponential form is:

97491 = 31 × 324971

Now multiplying the highest exponent prime factors to calculate the LCM of 97477 and 97491.

LCM(97477,97491) = 1071 × 9111 × 31 × 324971
LCM(97477,97491) = 9503130207