What is the Least Common Multiple of 80423 and 80427?
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 80423 and 80427 is 6468180621.
LCM(80423,80427) = 6468180621
Least Common Multiple of 80423 and 80427 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80423 and 80427, than apply into the LCM equation.
GCF(80423,80427) = 1
LCM(80423,80427) = ( 80423 × 80427) / 1
LCM(80423,80427) = 6468180621 / 1
LCM(80423,80427) = 6468180621
Least Common Multiple (LCM) of 80423 and 80427 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80423 and 80427. First we will calculate the prime factors of 80423 and 80427.
Prime Factorization of 80423
Prime factors of 80423 are 7, 11489. Prime factorization of 80423 in exponential form is:
80423 = 71 × 114891
Prime Factorization of 80427
Prime factors of 80427 are 3, 17, 19, 83. Prime factorization of 80427 in exponential form is:
80427 = 31 × 171 × 191 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 80423 and 80427.
LCM(80423,80427) = 71 × 114891 × 31 × 171 × 191 × 831
LCM(80423,80427) = 6468180621
Related Least Common Multiples of 80423
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