What is the Least Common Multiple of 44081 and 44094?
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 44081 and 44094 is 1943707614.
LCM(44081,44094) = 1943707614
Least Common Multiple of 44081 and 44094 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44081 and 44094, than apply into the LCM equation.
GCF(44081,44094) = 1
LCM(44081,44094) = ( 44081 × 44094) / 1
LCM(44081,44094) = 1943707614 / 1
LCM(44081,44094) = 1943707614
Least Common Multiple (LCM) of 44081 and 44094 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44081 and 44094. First we will calculate the prime factors of 44081 and 44094.
Prime Factorization of 44081
Prime factors of 44081 are 17, 2593. Prime factorization of 44081 in exponential form is:
44081 = 171 × 25931
Prime Factorization of 44094
Prime factors of 44094 are 2, 3, 7349. Prime factorization of 44094 in exponential form is:
44094 = 21 × 31 × 73491
Now multiplying the highest exponent prime factors to calculate the LCM of 44081 and 44094.
LCM(44081,44094) = 171 × 25931 × 21 × 31 × 73491
LCM(44081,44094) = 1943707614
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