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What is the Least Common Multiple of 97643 and 97658?

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 97643 and 97658 is 9535620094.

LCM(97643,97658) = 9535620094

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Least Common Multiple of 97643 and 97658 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97643 and 97658, than apply into the LCM equation.

GCF(97643,97658) = 1
LCM(97643,97658) = ( 97643 × 97658) / 1
LCM(97643,97658) = 9535620094 / 1
LCM(97643,97658) = 9535620094

Least Common Multiple (LCM) of 97643 and 97658 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97643 and 97658. First we will calculate the prime factors of 97643 and 97658.

Prime Factorization of 97643

Prime factors of 97643 are 7, 13, 29, 37. Prime factorization of 97643 in exponential form is:

97643 = 71 × 131 × 291 × 371

Prime Factorization of 97658

Prime factors of 97658 are 2, 11, 23, 193. Prime factorization of 97658 in exponential form is:

97658 = 21 × 111 × 231 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 97643 and 97658.

LCM(97643,97658) = 71 × 131 × 291 × 371 × 21 × 111 × 231 × 1931
LCM(97643,97658) = 9535620094