What is the Least Common Multiple of 44665 and 44683?
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 44665 and 44683 is 1995766195.
LCM(44665,44683) = 1995766195
Least Common Multiple of 44665 and 44683 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44665 and 44683, than apply into the LCM equation.
GCF(44665,44683) = 1
LCM(44665,44683) = ( 44665 × 44683) / 1
LCM(44665,44683) = 1995766195 / 1
LCM(44665,44683) = 1995766195
Least Common Multiple (LCM) of 44665 and 44683 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44665 and 44683. First we will calculate the prime factors of 44665 and 44683.
Prime Factorization of 44665
Prime factors of 44665 are 5, 8933. Prime factorization of 44665 in exponential form is:
44665 = 51 × 89331
Prime Factorization of 44683
Prime factors of 44683 are 44683. Prime factorization of 44683 in exponential form is:
44683 = 446831
Now multiplying the highest exponent prime factors to calculate the LCM of 44665 and 44683.
LCM(44665,44683) = 51 × 89331 × 446831
LCM(44665,44683) = 1995766195
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