What is the Least Common Multiple of 79399 and 79418?
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 79399 and 79418 is 6305709782.
LCM(79399,79418) = 6305709782
Least Common Multiple of 79399 and 79418 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79399 and 79418, than apply into the LCM equation.
GCF(79399,79418) = 1
LCM(79399,79418) = ( 79399 × 79418) / 1
LCM(79399,79418) = 6305709782 / 1
LCM(79399,79418) = 6305709782
Least Common Multiple (LCM) of 79399 and 79418 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79399 and 79418. First we will calculate the prime factors of 79399 and 79418.
Prime Factorization of 79399
Prime factors of 79399 are 79399. Prime factorization of 79399 in exponential form is:
79399 = 793991
Prime Factorization of 79418
Prime factors of 79418 are 2, 39709. Prime factorization of 79418 in exponential form is:
79418 = 21 × 397091
Now multiplying the highest exponent prime factors to calculate the LCM of 79399 and 79418.
LCM(79399,79418) = 793991 × 21 × 397091
LCM(79399,79418) = 6305709782
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