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What is the Least Common Multiple of 97073 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 97073 and 97087 is 9424526351.

LCM(97073,97087) = 9424526351

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Least Common Multiple of 97073 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 97073 and 97087, than apply into the LCM equation.

GCF(97073,97087) = 1
LCM(97073,97087) = ( 97073 × 97087) / 1
LCM(97073,97087) = 9424526351 / 1
LCM(97073,97087) = 9424526351

Least Common Multiple (LCM) of 97073 and 97087 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97073 and 97087. First we will calculate the prime factors of 97073 and 97087.

Prime Factorization of 97073

Prime factors of 97073 are 97073. Prime factorization of 97073 in exponential form is:

97073 = 970731

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 97073 and 97087.

LCM(97073,97087) = 970731 × 171 × 57111
LCM(97073,97087) = 9424526351