What is the Least Common Multiple of 80038 and 80044?
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 80038 and 80044 is 3203280836.
LCM(80038,80044) = 3203280836
Least Common Multiple of 80038 and 80044 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80038 and 80044, than apply into the LCM equation.
GCF(80038,80044) = 2
LCM(80038,80044) = ( 80038 × 80044) / 2
LCM(80038,80044) = 6406561672 / 2
LCM(80038,80044) = 3203280836
Least Common Multiple (LCM) of 80038 and 80044 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80038 and 80044. First we will calculate the prime factors of 80038 and 80044.
Prime Factorization of 80038
Prime factors of 80038 are 2, 7, 5717. Prime factorization of 80038 in exponential form is:
80038 = 21 × 71 × 57171
Prime Factorization of 80044
Prime factors of 80044 are 2, 20011. Prime factorization of 80044 in exponential form is:
80044 = 22 × 200111
Now multiplying the highest exponent prime factors to calculate the LCM of 80038 and 80044.
LCM(80038,80044) = 22 × 71 × 57171 × 200111
LCM(80038,80044) = 3203280836
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