What is the Least Common Multiple of 80783 and 80792?
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 80783 and 80792 is 6526620136.
LCM(80783,80792) = 6526620136
Least Common Multiple of 80783 and 80792 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80783 and 80792, than apply into the LCM equation.
GCF(80783,80792) = 1
LCM(80783,80792) = ( 80783 × 80792) / 1
LCM(80783,80792) = 6526620136 / 1
LCM(80783,80792) = 6526620136
Least Common Multiple (LCM) of 80783 and 80792 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80783 and 80792. First we will calculate the prime factors of 80783 and 80792.
Prime Factorization of 80783
Prime factors of 80783 are 80783. Prime factorization of 80783 in exponential form is:
80783 = 807831
Prime Factorization of 80792
Prime factors of 80792 are 2, 10099. Prime factorization of 80792 in exponential form is:
80792 = 23 × 100991
Now multiplying the highest exponent prime factors to calculate the LCM of 80783 and 80792.
LCM(80783,80792) = 807831 × 23 × 100991
LCM(80783,80792) = 6526620136
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