What is the Least Common Multiple of 89039 and 89043?
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 89039 and 89043 is 7928299677.
LCM(89039,89043) = 7928299677
Least Common Multiple of 89039 and 89043 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89039 and 89043, than apply into the LCM equation.
GCF(89039,89043) = 1
LCM(89039,89043) = ( 89039 × 89043) / 1
LCM(89039,89043) = 7928299677 / 1
LCM(89039,89043) = 7928299677
Least Common Multiple (LCM) of 89039 and 89043 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 89039 and 89043. First we will calculate the prime factors of 89039 and 89043.
Prime Factorization of 89039
Prime factors of 89039 are 269, 331. Prime factorization of 89039 in exponential form is:
89039 = 2691 × 3311
Prime Factorization of 89043
Prime factors of 89043 are 3, 67, 443. Prime factorization of 89043 in exponential form is:
89043 = 31 × 671 × 4431
Now multiplying the highest exponent prime factors to calculate the LCM of 89039 and 89043.
LCM(89039,89043) = 2691 × 3311 × 31 × 671 × 4431
LCM(89039,89043) = 7928299677
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