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What is the Least Common Multiple of 97067 and 97082?

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 97067 and 97082 is 9423458494.

LCM(97067,97082) = 9423458494

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Least Common Multiple of 97067 and 97082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97067 and 97082, than apply into the LCM equation.

GCF(97067,97082) = 1
LCM(97067,97082) = ( 97067 × 97082) / 1
LCM(97067,97082) = 9423458494 / 1
LCM(97067,97082) = 9423458494

Least Common Multiple (LCM) of 97067 and 97082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97067 and 97082. First we will calculate the prime factors of 97067 and 97082.

Prime Factorization of 97067

Prime factors of 97067 are 113, 859. Prime factorization of 97067 in exponential form is:

97067 = 1131 × 8591

Prime Factorization of 97082

Prime factors of 97082 are 2, 48541. Prime factorization of 97082 in exponential form is:

97082 = 21 × 485411

Now multiplying the highest exponent prime factors to calculate the LCM of 97067 and 97082.

LCM(97067,97082) = 1131 × 8591 × 21 × 485411
LCM(97067,97082) = 9423458494