What is the Least Common Multiple of 81044 and 81063?
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 81044 and 81063 is 6569669772.
LCM(81044,81063) = 6569669772
Least Common Multiple of 81044 and 81063 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81044 and 81063, than apply into the LCM equation.
GCF(81044,81063) = 1
LCM(81044,81063) = ( 81044 × 81063) / 1
LCM(81044,81063) = 6569669772 / 1
LCM(81044,81063) = 6569669772
Least Common Multiple (LCM) of 81044 and 81063 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 81044 and 81063. First we will calculate the prime factors of 81044 and 81063.
Prime Factorization of 81044
Prime factors of 81044 are 2, 20261. Prime factorization of 81044 in exponential form is:
81044 = 22 × 202611
Prime Factorization of 81063
Prime factors of 81063 are 3, 9007. Prime factorization of 81063 in exponential form is:
81063 = 32 × 90071
Now multiplying the highest exponent prime factors to calculate the LCM of 81044 and 81063.
LCM(81044,81063) = 22 × 202611 × 32 × 90071
LCM(81044,81063) = 6569669772
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