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What is the Least Common Multiple of 97615 and 97623?

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 97615 and 97623 is 9529469145.

LCM(97615,97623) = 9529469145

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Least Common Multiple of 97615 and 97623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97615 and 97623, than apply into the LCM equation.

GCF(97615,97623) = 1
LCM(97615,97623) = ( 97615 × 97623) / 1
LCM(97615,97623) = 9529469145 / 1
LCM(97615,97623) = 9529469145

Least Common Multiple (LCM) of 97615 and 97623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97615 and 97623. First we will calculate the prime factors of 97615 and 97623.

Prime Factorization of 97615

Prime factors of 97615 are 5, 7, 2789. Prime factorization of 97615 in exponential form is:

97615 = 51 × 71 × 27891

Prime Factorization of 97623

Prime factors of 97623 are 3, 10847. Prime factorization of 97623 in exponential form is:

97623 = 32 × 108471

Now multiplying the highest exponent prime factors to calculate the LCM of 97615 and 97623.

LCM(97615,97623) = 51 × 71 × 27891 × 32 × 108471
LCM(97615,97623) = 9529469145