What is the Least Common Multiple of 81044 and 81055?
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 81055 is 6569021420.
LCM(81044,81055) = 6569021420
Least Common Multiple of 81044 and 81055 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 81055, than apply into the LCM equation.
GCF(81044,81055) = 1
LCM(81044,81055) = ( 81044 × 81055) / 1
LCM(81044,81055) = 6569021420 / 1
LCM(81044,81055) = 6569021420
Least Common Multiple (LCM) of 81044 and 81055 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 81044 and 81055. First we will calculate the prime factors of 81044 and 81055.
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 81055
Prime factors of 81055 are 5, 13, 29, 43. Prime factorization of 81055 in exponential form is:
81055 = 51 × 131 × 291 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 81044 and 81055.
LCM(81044,81055) = 22 × 202611 × 51 × 131 × 291 × 431
LCM(81044,81055) = 6569021420
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