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What is the Least Common Multiple of 97167 and 97171?

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 97167 and 97171 is 9441814557.

LCM(97167,97171) = 9441814557

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Least Common Multiple of 97167 and 97171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97167 and 97171, than apply into the LCM equation.

GCF(97167,97171) = 1
LCM(97167,97171) = ( 97167 × 97171) / 1
LCM(97167,97171) = 9441814557 / 1
LCM(97167,97171) = 9441814557

Least Common Multiple (LCM) of 97167 and 97171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97167 and 97171. First we will calculate the prime factors of 97167 and 97171.

Prime Factorization of 97167

Prime factors of 97167 are 3, 7, 661. Prime factorization of 97167 in exponential form is:

97167 = 31 × 72 × 6611

Prime Factorization of 97171

Prime factors of 97171 are 97171. Prime factorization of 97171 in exponential form is:

97171 = 971711

Now multiplying the highest exponent prime factors to calculate the LCM of 97167 and 97171.

LCM(97167,97171) = 31 × 72 × 6611 × 971711
LCM(97167,97171) = 9441814557