What is the Least Common Multiple of 8186 and 8198?
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 8186 and 8198 is 33554414.
LCM(8186,8198) = 33554414
Least Common Multiple of 8186 and 8198 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8186 and 8198, than apply into the LCM equation.
GCF(8186,8198) = 2
LCM(8186,8198) = ( 8186 × 8198) / 2
LCM(8186,8198) = 67108828 / 2
LCM(8186,8198) = 33554414
Least Common Multiple (LCM) of 8186 and 8198 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8186 and 8198. First we will calculate the prime factors of 8186 and 8198.
Prime Factorization of 8186
Prime factors of 8186 are 2, 4093. Prime factorization of 8186 in exponential form is:
8186 = 21 × 40931
Prime Factorization of 8198
Prime factors of 8198 are 2, 4099. Prime factorization of 8198 in exponential form is:
8198 = 21 × 40991
Now multiplying the highest exponent prime factors to calculate the LCM of 8186 and 8198.
LCM(8186,8198) = 21 × 40931 × 40991
LCM(8186,8198) = 33554414
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