What is the Least Common Multiple of 8106 and 8118?
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 8106 and 8118 is 10967418.
LCM(8106,8118) = 10967418
Least Common Multiple of 8106 and 8118 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8106 and 8118, than apply into the LCM equation.
GCF(8106,8118) = 6
LCM(8106,8118) = ( 8106 × 8118) / 6
LCM(8106,8118) = 65804508 / 6
LCM(8106,8118) = 10967418
Least Common Multiple (LCM) of 8106 and 8118 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8106 and 8118. First we will calculate the prime factors of 8106 and 8118.
Prime Factorization of 8106
Prime factors of 8106 are 2, 3, 7, 193. Prime factorization of 8106 in exponential form is:
8106 = 21 × 31 × 71 × 1931
Prime Factorization of 8118
Prime factors of 8118 are 2, 3, 11, 41. Prime factorization of 8118 in exponential form is:
8118 = 21 × 32 × 111 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 8106 and 8118.
LCM(8106,8118) = 21 × 32 × 71 × 1931 × 111 × 411
LCM(8106,8118) = 10967418
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