What is the Least Common Multiple of 89043 and 89054?
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 89043 and 89054 is 7929635322.
LCM(89043,89054) = 7929635322
Least Common Multiple of 89043 and 89054 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89043 and 89054, than apply into the LCM equation.
GCF(89043,89054) = 1
LCM(89043,89054) = ( 89043 × 89054) / 1
LCM(89043,89054) = 7929635322 / 1
LCM(89043,89054) = 7929635322
Least Common Multiple (LCM) of 89043 and 89054 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 89043 and 89054. First we will calculate the prime factors of 89043 and 89054.
Prime Factorization of 89043
Prime factors of 89043 are 3, 67, 443. Prime factorization of 89043 in exponential form is:
89043 = 31 × 671 × 4431
Prime Factorization of 89054
Prime factors of 89054 are 2, 7, 6361. Prime factorization of 89054 in exponential form is:
89054 = 21 × 71 × 63611
Now multiplying the highest exponent prime factors to calculate the LCM of 89043 and 89054.
LCM(89043,89054) = 31 × 671 × 4431 × 21 × 71 × 63611
LCM(89043,89054) = 7929635322
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