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What is the Least Common Multiple of 97639 and 97647?

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 97639 and 97647 is 9534155433.

LCM(97639,97647) = 9534155433

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Least Common Multiple of 97639 and 97647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97639 and 97647, than apply into the LCM equation.

GCF(97639,97647) = 1
LCM(97639,97647) = ( 97639 × 97647) / 1
LCM(97639,97647) = 9534155433 / 1
LCM(97639,97647) = 9534155433

Least Common Multiple (LCM) of 97639 and 97647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97639 and 97647. First we will calculate the prime factors of 97639 and 97647.

Prime Factorization of 97639

Prime factors of 97639 are 251, 389. Prime factorization of 97639 in exponential form is:

97639 = 2511 × 3891

Prime Factorization of 97647

Prime factors of 97647 are 3, 11, 269. Prime factorization of 97647 in exponential form is:

97647 = 31 × 112 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 97639 and 97647.

LCM(97639,97647) = 2511 × 3891 × 31 × 112 × 2691
LCM(97639,97647) = 9534155433