What is the Least Common Multiple of 79081 and 79091?
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 79081 and 79091 is 6254595371.
LCM(79081,79091) = 6254595371
Least Common Multiple of 79081 and 79091 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79081 and 79091, than apply into the LCM equation.
GCF(79081,79091) = 1
LCM(79081,79091) = ( 79081 × 79091) / 1
LCM(79081,79091) = 6254595371 / 1
LCM(79081,79091) = 6254595371
Least Common Multiple (LCM) of 79081 and 79091 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79081 and 79091. First we will calculate the prime factors of 79081 and 79091.
Prime Factorization of 79081
Prime factors of 79081 are 31, 2551. Prime factorization of 79081 in exponential form is:
79081 = 311 × 25511
Prime Factorization of 79091
Prime factors of 79091 are 139, 569. Prime factorization of 79091 in exponential form is:
79091 = 1391 × 5691
Now multiplying the highest exponent prime factors to calculate the LCM of 79081 and 79091.
LCM(79081,79091) = 311 × 25511 × 1391 × 5691
LCM(79081,79091) = 6254595371
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