What is the Least Common Multiple of 75706 and 75725?
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 75706 and 75725 is 5732836850.
LCM(75706,75725) = 5732836850
Least Common Multiple of 75706 and 75725 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75706 and 75725, than apply into the LCM equation.
GCF(75706,75725) = 1
LCM(75706,75725) = ( 75706 × 75725) / 1
LCM(75706,75725) = 5732836850 / 1
LCM(75706,75725) = 5732836850
Least Common Multiple (LCM) of 75706 and 75725 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 75706 and 75725. First we will calculate the prime factors of 75706 and 75725.
Prime Factorization of 75706
Prime factors of 75706 are 2, 37853. Prime factorization of 75706 in exponential form is:
75706 = 21 × 378531
Prime Factorization of 75725
Prime factors of 75725 are 5, 13, 233. Prime factorization of 75725 in exponential form is:
75725 = 52 × 131 × 2331
Now multiplying the highest exponent prime factors to calculate the LCM of 75706 and 75725.
LCM(75706,75725) = 21 × 378531 × 52 × 131 × 2331
LCM(75706,75725) = 5732836850
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