What is the Least Common Multiple of 79622 and 79626?
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 79622 and 79626 is 3169990686.
LCM(79622,79626) = 3169990686
Least Common Multiple of 79622 and 79626 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79622 and 79626, than apply into the LCM equation.
GCF(79622,79626) = 2
LCM(79622,79626) = ( 79622 × 79626) / 2
LCM(79622,79626) = 6339981372 / 2
LCM(79622,79626) = 3169990686
Least Common Multiple (LCM) of 79622 and 79626 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79622 and 79626. First we will calculate the prime factors of 79622 and 79626.
Prime Factorization of 79622
Prime factors of 79622 are 2, 41, 971. Prime factorization of 79622 in exponential form is:
79622 = 21 × 411 × 9711
Prime Factorization of 79626
Prime factors of 79626 are 2, 3, 23, 577. Prime factorization of 79626 in exponential form is:
79626 = 21 × 31 × 231 × 5771
Now multiplying the highest exponent prime factors to calculate the LCM of 79622 and 79626.
LCM(79622,79626) = 21 × 411 × 9711 × 31 × 231 × 5771
LCM(79622,79626) = 3169990686
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