What is the Least Common Multiple of 40594 and 40601?
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 40594 and 40601 is 1648156994.
LCM(40594,40601) = 1648156994
Least Common Multiple of 40594 and 40601 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40594 and 40601, than apply into the LCM equation.
GCF(40594,40601) = 1
LCM(40594,40601) = ( 40594 × 40601) / 1
LCM(40594,40601) = 1648156994 / 1
LCM(40594,40601) = 1648156994
Least Common Multiple (LCM) of 40594 and 40601 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40594 and 40601. First we will calculate the prime factors of 40594 and 40601.
Prime Factorization of 40594
Prime factors of 40594 are 2, 20297. Prime factorization of 40594 in exponential form is:
40594 = 21 × 202971
Prime Factorization of 40601
Prime factors of 40601 are 11, 3691. Prime factorization of 40601 in exponential form is:
40601 = 111 × 36911
Now multiplying the highest exponent prime factors to calculate the LCM of 40594 and 40601.
LCM(40594,40601) = 21 × 202971 × 111 × 36911
LCM(40594,40601) = 1648156994
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