What is the Least Common Multiple of 80765 and 80776?
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 80765 and 80776 is 6523873640.
LCM(80765,80776) = 6523873640
Least Common Multiple of 80765 and 80776 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80765 and 80776, than apply into the LCM equation.
GCF(80765,80776) = 1
LCM(80765,80776) = ( 80765 × 80776) / 1
LCM(80765,80776) = 6523873640 / 1
LCM(80765,80776) = 6523873640
Least Common Multiple (LCM) of 80765 and 80776 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80765 and 80776. First we will calculate the prime factors of 80765 and 80776.
Prime Factorization of 80765
Prime factors of 80765 are 5, 29, 557. Prime factorization of 80765 in exponential form is:
80765 = 51 × 291 × 5571
Prime Factorization of 80776
Prime factors of 80776 are 2, 23, 439. Prime factorization of 80776 in exponential form is:
80776 = 23 × 231 × 4391
Now multiplying the highest exponent prime factors to calculate the LCM of 80765 and 80776.
LCM(80765,80776) = 51 × 291 × 5571 × 23 × 231 × 4391
LCM(80765,80776) = 6523873640
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