What is the Least Common Multiple of 79573 and 79578?
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 79573 and 79578 is 6332260194.
LCM(79573,79578) = 6332260194
Least Common Multiple of 79573 and 79578 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79573 and 79578, than apply into the LCM equation.
GCF(79573,79578) = 1
LCM(79573,79578) = ( 79573 × 79578) / 1
LCM(79573,79578) = 6332260194 / 1
LCM(79573,79578) = 6332260194
Least Common Multiple (LCM) of 79573 and 79578 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79573 and 79578. First we will calculate the prime factors of 79573 and 79578.
Prime Factorization of 79573
Prime factors of 79573 are 13, 6121. Prime factorization of 79573 in exponential form is:
79573 = 131 × 61211
Prime Factorization of 79578
Prime factors of 79578 are 2, 3, 4421. Prime factorization of 79578 in exponential form is:
79578 = 21 × 32 × 44211
Now multiplying the highest exponent prime factors to calculate the LCM of 79573 and 79578.
LCM(79573,79578) = 131 × 61211 × 21 × 32 × 44211
LCM(79573,79578) = 6332260194
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