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What is the Least Common Multiple of 79484 and 79495?

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 79484 and 79495 is 6318580580.

LCM(79484,79495) = 6318580580

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Least Common Multiple of 79484 and 79495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79484 and 79495, than apply into the LCM equation.

GCF(79484,79495) = 1
LCM(79484,79495) = ( 79484 × 79495) / 1
LCM(79484,79495) = 6318580580 / 1
LCM(79484,79495) = 6318580580

Least Common Multiple (LCM) of 79484 and 79495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79484 and 79495. First we will calculate the prime factors of 79484 and 79495.

Prime Factorization of 79484

Prime factors of 79484 are 2, 31, 641. Prime factorization of 79484 in exponential form is:

79484 = 22 × 311 × 6411

Prime Factorization of 79495

Prime factors of 79495 are 5, 13, 1223. Prime factorization of 79495 in exponential form is:

79495 = 51 × 131 × 12231

Now multiplying the highest exponent prime factors to calculate the LCM of 79484 and 79495.

LCM(79484,79495) = 22 × 311 × 6411 × 51 × 131 × 12231
LCM(79484,79495) = 6318580580