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What is the Least Common Multiple of 97081 and 97087?

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 97081 and 97087 is 9425303047.

LCM(97081,97087) = 9425303047

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Least Common Multiple of 97081 and 97087 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97081 and 97087, than apply into the LCM equation.

GCF(97081,97087) = 1
LCM(97081,97087) = ( 97081 × 97087) / 1
LCM(97081,97087) = 9425303047 / 1
LCM(97081,97087) = 9425303047

Least Common Multiple (LCM) of 97081 and 97087 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97081 and 97087. First we will calculate the prime factors of 97081 and 97087.

Prime Factorization of 97081

Prime factors of 97081 are 97081. Prime factorization of 97081 in exponential form is:

97081 = 970811

Prime Factorization of 97087

Prime factors of 97087 are 17, 5711. Prime factorization of 97087 in exponential form is:

97087 = 171 × 57111

Now multiplying the highest exponent prime factors to calculate the LCM of 97081 and 97087.

LCM(97081,97087) = 970811 × 171 × 57111
LCM(97081,97087) = 9425303047