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What is the Least Common Multiple of 97177 and 97181?

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 97177 and 97181 is 9443758037.

LCM(97177,97181) = 9443758037

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Least Common Multiple of 97177 and 97181 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97177 and 97181, than apply into the LCM equation.

GCF(97177,97181) = 1
LCM(97177,97181) = ( 97177 × 97181) / 1
LCM(97177,97181) = 9443758037 / 1
LCM(97177,97181) = 9443758037

Least Common Multiple (LCM) of 97177 and 97181 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97177 and 97181. First we will calculate the prime factors of 97177 and 97181.

Prime Factorization of 97177

Prime factors of 97177 are 97177. Prime factorization of 97177 in exponential form is:

97177 = 971771

Prime Factorization of 97181

Prime factors of 97181 are 7, 13883. Prime factorization of 97181 in exponential form is:

97181 = 71 × 138831

Now multiplying the highest exponent prime factors to calculate the LCM of 97177 and 97181.

LCM(97177,97181) = 971771 × 71 × 138831
LCM(97177,97181) = 9443758037