What is the Least Common Multiple of 44067 and 44081?
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 44067 and 44081 is 1942517427.
LCM(44067,44081) = 1942517427
Least Common Multiple of 44067 and 44081 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44067 and 44081, than apply into the LCM equation.
GCF(44067,44081) = 1
LCM(44067,44081) = ( 44067 × 44081) / 1
LCM(44067,44081) = 1942517427 / 1
LCM(44067,44081) = 1942517427
Least Common Multiple (LCM) of 44067 and 44081 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44067 and 44081. First we will calculate the prime factors of 44067 and 44081.
Prime Factorization of 44067
Prime factors of 44067 are 3, 37, 397. Prime factorization of 44067 in exponential form is:
44067 = 31 × 371 × 3971
Prime Factorization of 44081
Prime factors of 44081 are 17, 2593. Prime factorization of 44081 in exponential form is:
44081 = 171 × 25931
Now multiplying the highest exponent prime factors to calculate the LCM of 44067 and 44081.
LCM(44067,44081) = 31 × 371 × 3971 × 171 × 25931
LCM(44067,44081) = 1942517427
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