What is the Least Common Multiple of 86039 and 86043?
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 86039 and 86043 is 7403053677.
LCM(86039,86043) = 7403053677
Least Common Multiple of 86039 and 86043 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86039 and 86043, than apply into the LCM equation.
GCF(86039,86043) = 1
LCM(86039,86043) = ( 86039 × 86043) / 1
LCM(86039,86043) = 7403053677 / 1
LCM(86039,86043) = 7403053677
Least Common Multiple (LCM) of 86039 and 86043 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 86039 and 86043. First we will calculate the prime factors of 86039 and 86043.
Prime Factorization of 86039
Prime factors of 86039 are 97, 887. Prime factorization of 86039 in exponential form is:
86039 = 971 × 8871
Prime Factorization of 86043
Prime factors of 86043 are 3, 23, 29, 43. Prime factorization of 86043 in exponential form is:
86043 = 31 × 231 × 291 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 86039 and 86043.
LCM(86039,86043) = 971 × 8871 × 31 × 231 × 291 × 431
LCM(86039,86043) = 7403053677
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