What is the Least Common Multiple of 88777 and 88785?
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 88777 and 88785 is 7882065945.
LCM(88777,88785) = 7882065945
Least Common Multiple of 88777 and 88785 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88777 and 88785, than apply into the LCM equation.
GCF(88777,88785) = 1
LCM(88777,88785) = ( 88777 × 88785) / 1
LCM(88777,88785) = 7882065945 / 1
LCM(88777,88785) = 7882065945
Least Common Multiple (LCM) of 88777 and 88785 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88777 and 88785. First we will calculate the prime factors of 88777 and 88785.
Prime Factorization of 88777
Prime factors of 88777 are 13, 6829. Prime factorization of 88777 in exponential form is:
88777 = 131 × 68291
Prime Factorization of 88785
Prime factors of 88785 are 3, 5, 1973. Prime factorization of 88785 in exponential form is:
88785 = 32 × 51 × 19731
Now multiplying the highest exponent prime factors to calculate the LCM of 88777 and 88785.
LCM(88777,88785) = 131 × 68291 × 32 × 51 × 19731
LCM(88777,88785) = 7882065945
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