What is the Least Common Multiple of 72682 and 72686?
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 72682 and 72686 is 2641481926.
LCM(72682,72686) = 2641481926
Least Common Multiple of 72682 and 72686 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72682 and 72686, than apply into the LCM equation.
GCF(72682,72686) = 2
LCM(72682,72686) = ( 72682 × 72686) / 2
LCM(72682,72686) = 5282963852 / 2
LCM(72682,72686) = 2641481926
Least Common Multiple (LCM) of 72682 and 72686 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 72682 and 72686. First we will calculate the prime factors of 72682 and 72686.
Prime Factorization of 72682
Prime factors of 72682 are 2, 36341. Prime factorization of 72682 in exponential form is:
72682 = 21 × 363411
Prime Factorization of 72686
Prime factors of 72686 are 2, 36343. Prime factorization of 72686 in exponential form is:
72686 = 21 × 363431
Now multiplying the highest exponent prime factors to calculate the LCM of 72682 and 72686.
LCM(72682,72686) = 21 × 363411 × 363431
LCM(72682,72686) = 2641481926
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