What is the Least Common Multiple of 79813 and 79826?
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 79813 and 79826 is 6371152538.
LCM(79813,79826) = 6371152538
Least Common Multiple of 79813 and 79826 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79813 and 79826, than apply into the LCM equation.
GCF(79813,79826) = 1
LCM(79813,79826) = ( 79813 × 79826) / 1
LCM(79813,79826) = 6371152538 / 1
LCM(79813,79826) = 6371152538
Least Common Multiple (LCM) of 79813 and 79826 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79813 and 79826. First we will calculate the prime factors of 79813 and 79826.
Prime Factorization of 79813
Prime factors of 79813 are 79813. Prime factorization of 79813 in exponential form is:
79813 = 798131
Prime Factorization of 79826
Prime factors of 79826 are 2, 167, 239. Prime factorization of 79826 in exponential form is:
79826 = 21 × 1671 × 2391
Now multiplying the highest exponent prime factors to calculate the LCM of 79813 and 79826.
LCM(79813,79826) = 798131 × 21 × 1671 × 2391
LCM(79813,79826) = 6371152538
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