What is the Least Common Multiple of 8168 and 8188?
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 8168 and 8188 is 16719896.
LCM(8168,8188) = 16719896
Least Common Multiple of 8168 and 8188 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8168 and 8188, than apply into the LCM equation.
GCF(8168,8188) = 4
LCM(8168,8188) = ( 8168 × 8188) / 4
LCM(8168,8188) = 66879584 / 4
LCM(8168,8188) = 16719896
Least Common Multiple (LCM) of 8168 and 8188 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8168 and 8188. First we will calculate the prime factors of 8168 and 8188.
Prime Factorization of 8168
Prime factors of 8168 are 2, 1021. Prime factorization of 8168 in exponential form is:
8168 = 23 × 10211
Prime Factorization of 8188
Prime factors of 8188 are 2, 23, 89. Prime factorization of 8188 in exponential form is:
8188 = 22 × 231 × 891
Now multiplying the highest exponent prime factors to calculate the LCM of 8168 and 8188.
LCM(8168,8188) = 23 × 10211 × 231 × 891
LCM(8168,8188) = 16719896
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