What is the Least Common Multiple of 81031 and 81040?
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 81031 and 81040 is 6566752240.
LCM(81031,81040) = 6566752240
Least Common Multiple of 81031 and 81040 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81031 and 81040, than apply into the LCM equation.
GCF(81031,81040) = 1
LCM(81031,81040) = ( 81031 × 81040) / 1
LCM(81031,81040) = 6566752240 / 1
LCM(81031,81040) = 6566752240
Least Common Multiple (LCM) of 81031 and 81040 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 81031 and 81040. First we will calculate the prime factors of 81031 and 81040.
Prime Factorization of 81031
Prime factors of 81031 are 81031. Prime factorization of 81031 in exponential form is:
81031 = 810311
Prime Factorization of 81040
Prime factors of 81040 are 2, 5, 1013. Prime factorization of 81040 in exponential form is:
81040 = 24 × 51 × 10131
Now multiplying the highest exponent prime factors to calculate the LCM of 81031 and 81040.
LCM(81031,81040) = 810311 × 24 × 51 × 10131
LCM(81031,81040) = 6566752240
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