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What is the Least Common Multiple of 79483 and 79498?

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 79483 and 79498 is 6318739534.

LCM(79483,79498) = 6318739534

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Least Common Multiple of 79483 and 79498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79483 and 79498, than apply into the LCM equation.

GCF(79483,79498) = 1
LCM(79483,79498) = ( 79483 × 79498) / 1
LCM(79483,79498) = 6318739534 / 1
LCM(79483,79498) = 6318739534

Least Common Multiple (LCM) of 79483 and 79498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79483 and 79498. First we will calculate the prime factors of 79483 and 79498.

Prime Factorization of 79483

Prime factors of 79483 are 61, 1303. Prime factorization of 79483 in exponential form is:

79483 = 611 × 13031

Prime Factorization of 79498

Prime factors of 79498 are 2, 39749. Prime factorization of 79498 in exponential form is:

79498 = 21 × 397491

Now multiplying the highest exponent prime factors to calculate the LCM of 79483 and 79498.

LCM(79483,79498) = 611 × 13031 × 21 × 397491
LCM(79483,79498) = 6318739534