What is the Least Common Multiple of 8782 and 8795?
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 8782 and 8795 is 77237690.
LCM(8782,8795) = 77237690
Least Common Multiple of 8782 and 8795 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8782 and 8795, than apply into the LCM equation.
GCF(8782,8795) = 1
LCM(8782,8795) = ( 8782 × 8795) / 1
LCM(8782,8795) = 77237690 / 1
LCM(8782,8795) = 77237690
Least Common Multiple (LCM) of 8782 and 8795 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8782 and 8795. First we will calculate the prime factors of 8782 and 8795.
Prime Factorization of 8782
Prime factors of 8782 are 2, 4391. Prime factorization of 8782 in exponential form is:
8782 = 21 × 43911
Prime Factorization of 8795
Prime factors of 8795 are 5, 1759. Prime factorization of 8795 in exponential form is:
8795 = 51 × 17591
Now multiplying the highest exponent prime factors to calculate the LCM of 8782 and 8795.
LCM(8782,8795) = 21 × 43911 × 51 × 17591
LCM(8782,8795) = 77237690
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