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What is the Least Common Multiple of 97255 and 97259?

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 97255 and 97259 is 9458924045.

LCM(97255,97259) = 9458924045

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Least Common Multiple of 97255 and 97259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97255 and 97259, than apply into the LCM equation.

GCF(97255,97259) = 1
LCM(97255,97259) = ( 97255 × 97259) / 1
LCM(97255,97259) = 9458924045 / 1
LCM(97255,97259) = 9458924045

Least Common Multiple (LCM) of 97255 and 97259 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97255 and 97259. First we will calculate the prime factors of 97255 and 97259.

Prime Factorization of 97255

Prime factors of 97255 are 5, 53, 367. Prime factorization of 97255 in exponential form is:

97255 = 51 × 531 × 3671

Prime Factorization of 97259

Prime factors of 97259 are 97259. Prime factorization of 97259 in exponential form is:

97259 = 972591

Now multiplying the highest exponent prime factors to calculate the LCM of 97255 and 97259.

LCM(97255,97259) = 51 × 531 × 3671 × 972591
LCM(97255,97259) = 9458924045