What is the Least Common Multiple of 88777 and 88786?
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 88786 is 7882154722.
LCM(88777,88786) = 7882154722
Least Common Multiple of 88777 and 88786 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 88786, than apply into the LCM equation.
GCF(88777,88786) = 1
LCM(88777,88786) = ( 88777 × 88786) / 1
LCM(88777,88786) = 7882154722 / 1
LCM(88777,88786) = 7882154722
Least Common Multiple (LCM) of 88777 and 88786 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88777 and 88786. First we will calculate the prime factors of 88777 and 88786.
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 88786
Prime factors of 88786 are 2, 103, 431. Prime factorization of 88786 in exponential form is:
88786 = 21 × 1031 × 4311
Now multiplying the highest exponent prime factors to calculate the LCM of 88777 and 88786.
LCM(88777,88786) = 131 × 68291 × 21 × 1031 × 4311
LCM(88777,88786) = 7882154722
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