What is the Least Common Multiple of 77285 and 77291?
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 77285 and 77291 is 5973434935.
LCM(77285,77291) = 5973434935
Least Common Multiple of 77285 and 77291 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77285 and 77291, than apply into the LCM equation.
GCF(77285,77291) = 1
LCM(77285,77291) = ( 77285 × 77291) / 1
LCM(77285,77291) = 5973434935 / 1
LCM(77285,77291) = 5973434935
Least Common Multiple (LCM) of 77285 and 77291 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77285 and 77291. First we will calculate the prime factors of 77285 and 77291.
Prime Factorization of 77285
Prime factors of 77285 are 5, 13, 29, 41. Prime factorization of 77285 in exponential form is:
77285 = 51 × 131 × 291 × 411
Prime Factorization of 77291
Prime factors of 77291 are 77291. Prime factorization of 77291 in exponential form is:
77291 = 772911
Now multiplying the highest exponent prime factors to calculate the LCM of 77285 and 77291.
LCM(77285,77291) = 51 × 131 × 291 × 411 × 772911
LCM(77285,77291) = 5973434935
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