What is the Least Common Multiple of 79015 and 79022?
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 79015 and 79022 is 6243923330.
LCM(79015,79022) = 6243923330
Least Common Multiple of 79015 and 79022 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79015 and 79022, than apply into the LCM equation.
GCF(79015,79022) = 1
LCM(79015,79022) = ( 79015 × 79022) / 1
LCM(79015,79022) = 6243923330 / 1
LCM(79015,79022) = 6243923330
Least Common Multiple (LCM) of 79015 and 79022 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79015 and 79022. First we will calculate the prime factors of 79015 and 79022.
Prime Factorization of 79015
Prime factors of 79015 are 5, 15803. Prime factorization of 79015 in exponential form is:
79015 = 51 × 158031
Prime Factorization of 79022
Prime factors of 79022 are 2, 39511. Prime factorization of 79022 in exponential form is:
79022 = 21 × 395111
Now multiplying the highest exponent prime factors to calculate the LCM of 79015 and 79022.
LCM(79015,79022) = 51 × 158031 × 21 × 395111
LCM(79015,79022) = 6243923330
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