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What is the Least Common Multiple of 97631 and 97641?

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 97631 and 97641 is 9532788471.

LCM(97631,97641) = 9532788471

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Least Common Multiple of 97631 and 97641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97631 and 97641, than apply into the LCM equation.

GCF(97631,97641) = 1
LCM(97631,97641) = ( 97631 × 97641) / 1
LCM(97631,97641) = 9532788471 / 1
LCM(97631,97641) = 9532788471

Least Common Multiple (LCM) of 97631 and 97641 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97631 and 97641. First we will calculate the prime factors of 97631 and 97641.

Prime Factorization of 97631

Prime factors of 97631 are 17, 5743. Prime factorization of 97631 in exponential form is:

97631 = 171 × 57431

Prime Factorization of 97641

Prime factors of 97641 are 3, 19, 571. Prime factorization of 97641 in exponential form is:

97641 = 32 × 191 × 5711

Now multiplying the highest exponent prime factors to calculate the LCM of 97631 and 97641.

LCM(97631,97641) = 171 × 57431 × 32 × 191 × 5711
LCM(97631,97641) = 9532788471