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What is the Least Common Multiple of 97059 and 97073?

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 97059 and 97073 is 9421808307.

LCM(97059,97073) = 9421808307

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Least Common Multiple of 97059 and 97073 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97059 and 97073, than apply into the LCM equation.

GCF(97059,97073) = 1
LCM(97059,97073) = ( 97059 × 97073) / 1
LCM(97059,97073) = 9421808307 / 1
LCM(97059,97073) = 9421808307

Least Common Multiple (LCM) of 97059 and 97073 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97059 and 97073. First we will calculate the prime factors of 97059 and 97073.

Prime Factorization of 97059

Prime factors of 97059 are 3, 32353. Prime factorization of 97059 in exponential form is:

97059 = 31 × 323531

Prime Factorization of 97073

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

97073 = 970731

Now multiplying the highest exponent prime factors to calculate the LCM of 97059 and 97073.

LCM(97059,97073) = 31 × 323531 × 970731
LCM(97059,97073) = 9421808307