What is the Least Common Multiple of 77587 and 77595?
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 77587 and 77595 is 6020363265.
LCM(77587,77595) = 6020363265
Least Common Multiple of 77587 and 77595 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77587 and 77595, than apply into the LCM equation.
GCF(77587,77595) = 1
LCM(77587,77595) = ( 77587 × 77595) / 1
LCM(77587,77595) = 6020363265 / 1
LCM(77587,77595) = 6020363265
Least Common Multiple (LCM) of 77587 and 77595 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77587 and 77595. First we will calculate the prime factors of 77587 and 77595.
Prime Factorization of 77587
Prime factors of 77587 are 77587. Prime factorization of 77587 in exponential form is:
77587 = 775871
Prime Factorization of 77595
Prime factors of 77595 are 3, 5, 7, 739. Prime factorization of 77595 in exponential form is:
77595 = 31 × 51 × 71 × 7391
Now multiplying the highest exponent prime factors to calculate the LCM of 77587 and 77595.
LCM(77587,77595) = 775871 × 31 × 51 × 71 × 7391
LCM(77587,77595) = 6020363265
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