What is the Least Common Multiple of 81034 and 81043?
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 81034 and 81043 is 6567238462.
LCM(81034,81043) = 6567238462
Least Common Multiple of 81034 and 81043 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81034 and 81043, than apply into the LCM equation.
GCF(81034,81043) = 1
LCM(81034,81043) = ( 81034 × 81043) / 1
LCM(81034,81043) = 6567238462 / 1
LCM(81034,81043) = 6567238462
Least Common Multiple (LCM) of 81034 and 81043 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 81034 and 81043. First we will calculate the prime factors of 81034 and 81043.
Prime Factorization of 81034
Prime factors of 81034 are 2, 31, 1307. Prime factorization of 81034 in exponential form is:
81034 = 21 × 311 × 13071
Prime Factorization of 81043
Prime factors of 81043 are 81043. Prime factorization of 81043 in exponential form is:
81043 = 810431
Now multiplying the highest exponent prime factors to calculate the LCM of 81034 and 81043.
LCM(81034,81043) = 21 × 311 × 13071 × 810431
LCM(81034,81043) = 6567238462
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