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What is the Least Common Multiple of 97153 and 97159?

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 97153 and 97159 is 9439288327.

LCM(97153,97159) = 9439288327

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Least Common Multiple of 97153 and 97159 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97153 and 97159, than apply into the LCM equation.

GCF(97153,97159) = 1
LCM(97153,97159) = ( 97153 × 97159) / 1
LCM(97153,97159) = 9439288327 / 1
LCM(97153,97159) = 9439288327

Least Common Multiple (LCM) of 97153 and 97159 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97153 and 97159. First we will calculate the prime factors of 97153 and 97159.

Prime Factorization of 97153

Prime factors of 97153 are 7, 13879. Prime factorization of 97153 in exponential form is:

97153 = 71 × 138791

Prime Factorization of 97159

Prime factors of 97159 are 97159. Prime factorization of 97159 in exponential form is:

97159 = 971591

Now multiplying the highest exponent prime factors to calculate the LCM of 97153 and 97159.

LCM(97153,97159) = 71 × 138791 × 971591
LCM(97153,97159) = 9439288327