What is the Least Common Multiple of 79482 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 79482 and 79498 is 3159330018.
LCM(79482,79498) = 3159330018
Least Common Multiple of 79482 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 79482 and 79498, than apply into the LCM equation.
GCF(79482,79498) = 2
LCM(79482,79498) = ( 79482 × 79498) / 2
LCM(79482,79498) = 6318660036 / 2
LCM(79482,79498) = 3159330018
Least Common Multiple (LCM) of 79482 and 79498 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79482 and 79498. First we will calculate the prime factors of 79482 and 79498.
Prime Factorization of 79482
Prime factors of 79482 are 2, 3, 13, 1019. Prime factorization of 79482 in exponential form is:
79482 = 21 × 31 × 131 × 10191
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 79482 and 79498.
LCM(79482,79498) = 21 × 31 × 131 × 10191 × 397491
LCM(79482,79498) = 3159330018
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