What is the Least Common Multiple of 40594 and 40600?
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 40600 is 824058200.
LCM(40594,40600) = 824058200
Least Common Multiple of 40594 and 40600 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 40600, than apply into the LCM equation.
GCF(40594,40600) = 2
LCM(40594,40600) = ( 40594 × 40600) / 2
LCM(40594,40600) = 1648116400 / 2
LCM(40594,40600) = 824058200
Least Common Multiple (LCM) of 40594 and 40600 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40594 and 40600. First we will calculate the prime factors of 40594 and 40600.
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 40600
Prime factors of 40600 are 2, 5, 7, 29. Prime factorization of 40600 in exponential form is:
40600 = 23 × 52 × 71 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 40594 and 40600.
LCM(40594,40600) = 23 × 202971 × 52 × 71 × 291
LCM(40594,40600) = 824058200
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