What is the Least Common Multiple of 79826 and 79837?
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 79826 and 79837 is 6373068362.
LCM(79826,79837) = 6373068362
Least Common Multiple of 79826 and 79837 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79826 and 79837, than apply into the LCM equation.
GCF(79826,79837) = 1
LCM(79826,79837) = ( 79826 × 79837) / 1
LCM(79826,79837) = 6373068362 / 1
LCM(79826,79837) = 6373068362
Least Common Multiple (LCM) of 79826 and 79837 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79826 and 79837. First we will calculate the prime factors of 79826 and 79837.
Prime Factorization of 79826
Prime factors of 79826 are 2, 167, 239. Prime factorization of 79826 in exponential form is:
79826 = 21 × 1671 × 2391
Prime Factorization of 79837
Prime factors of 79837 are 29, 2753. Prime factorization of 79837 in exponential form is:
79837 = 291 × 27531
Now multiplying the highest exponent prime factors to calculate the LCM of 79826 and 79837.
LCM(79826,79837) = 21 × 1671 × 2391 × 291 × 27531
LCM(79826,79837) = 6373068362
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