What is the Least Common Multiple of 79482 and 79501?
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 79501 is 6318898482.
LCM(79482,79501) = 6318898482
Least Common Multiple of 79482 and 79501 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 79501, than apply into the LCM equation.
GCF(79482,79501) = 1
LCM(79482,79501) = ( 79482 × 79501) / 1
LCM(79482,79501) = 6318898482 / 1
LCM(79482,79501) = 6318898482
Least Common Multiple (LCM) of 79482 and 79501 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79482 and 79501. First we will calculate the prime factors of 79482 and 79501.
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 79501
Prime factors of 79501 are 107, 743. Prime factorization of 79501 in exponential form is:
79501 = 1071 × 7431
Now multiplying the highest exponent prime factors to calculate the LCM of 79482 and 79501.
LCM(79482,79501) = 21 × 31 × 131 × 10191 × 1071 × 7431
LCM(79482,79501) = 6318898482
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