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What is the Least Common Multiple of 97487 and 97501?

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 97487 and 97501 is 9505079987.

LCM(97487,97501) = 9505079987

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Least Common Multiple of 97487 and 97501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97487 and 97501, than apply into the LCM equation.

GCF(97487,97501) = 1
LCM(97487,97501) = ( 97487 × 97501) / 1
LCM(97487,97501) = 9505079987 / 1
LCM(97487,97501) = 9505079987

Least Common Multiple (LCM) of 97487 and 97501 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97487 and 97501. First we will calculate the prime factors of 97487 and 97501.

Prime Factorization of 97487

Prime factors of 97487 are 13, 7499. Prime factorization of 97487 in exponential form is:

97487 = 131 × 74991

Prime Factorization of 97501

Prime factors of 97501 are 97501. Prime factorization of 97501 in exponential form is:

97501 = 975011

Now multiplying the highest exponent prime factors to calculate the LCM of 97487 and 97501.

LCM(97487,97501) = 131 × 74991 × 975011
LCM(97487,97501) = 9505079987