What is the Least Common Multiple of 72787 and 72806?
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 72787 and 72806 is 5299330322.
LCM(72787,72806) = 5299330322
Least Common Multiple of 72787 and 72806 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72787 and 72806, than apply into the LCM equation.
GCF(72787,72806) = 1
LCM(72787,72806) = ( 72787 × 72806) / 1
LCM(72787,72806) = 5299330322 / 1
LCM(72787,72806) = 5299330322
Least Common Multiple (LCM) of 72787 and 72806 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 72787 and 72806. First we will calculate the prime factors of 72787 and 72806.
Prime Factorization of 72787
Prime factors of 72787 are 11, 13, 509. Prime factorization of 72787 in exponential form is:
72787 = 111 × 131 × 5091
Prime Factorization of 72806
Prime factors of 72806 are 2, 59, 617. Prime factorization of 72806 in exponential form is:
72806 = 21 × 591 × 6171
Now multiplying the highest exponent prime factors to calculate the LCM of 72787 and 72806.
LCM(72787,72806) = 111 × 131 × 5091 × 21 × 591 × 6171
LCM(72787,72806) = 5299330322
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