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What is the Least Common Multiple of 79253 and 79259?

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 79253 and 79259 is 6281513527.

LCM(79253,79259) = 6281513527

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Least Common Multiple of 79253 and 79259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79253 and 79259, than apply into the LCM equation.

GCF(79253,79259) = 1
LCM(79253,79259) = ( 79253 × 79259) / 1
LCM(79253,79259) = 6281513527 / 1
LCM(79253,79259) = 6281513527

Least Common Multiple (LCM) of 79253 and 79259 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79253 and 79259. First we will calculate the prime factors of 79253 and 79259.

Prime Factorization of 79253

Prime factors of 79253 are 41, 1933. Prime factorization of 79253 in exponential form is:

79253 = 411 × 19331

Prime Factorization of 79259

Prime factors of 79259 are 79259. Prime factorization of 79259 in exponential form is:

79259 = 792591

Now multiplying the highest exponent prime factors to calculate the LCM of 79253 and 79259.

LCM(79253,79259) = 411 × 19331 × 792591
LCM(79253,79259) = 6281513527