What is the Least Common Multiple of 79015 and 79034?
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 79034 is 6244871510.
LCM(79015,79034) = 6244871510
Least Common Multiple of 79015 and 79034 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 79034, than apply into the LCM equation.
GCF(79015,79034) = 1
LCM(79015,79034) = ( 79015 × 79034) / 1
LCM(79015,79034) = 6244871510 / 1
LCM(79015,79034) = 6244871510
Least Common Multiple (LCM) of 79015 and 79034 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79015 and 79034. First we will calculate the prime factors of 79015 and 79034.
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 79034
Prime factors of 79034 are 2, 43, 919. Prime factorization of 79034 in exponential form is:
79034 = 21 × 431 × 9191
Now multiplying the highest exponent prime factors to calculate the LCM of 79015 and 79034.
LCM(79015,79034) = 51 × 158031 × 21 × 431 × 9191
LCM(79015,79034) = 6244871510
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