What is the Least Common Multiple of 8172 and 8178?
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 8172 and 8178 is 11138436.
LCM(8172,8178) = 11138436
Least Common Multiple of 8172 and 8178 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8172 and 8178, than apply into the LCM equation.
GCF(8172,8178) = 6
LCM(8172,8178) = ( 8172 × 8178) / 6
LCM(8172,8178) = 66830616 / 6
LCM(8172,8178) = 11138436
Least Common Multiple (LCM) of 8172 and 8178 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8172 and 8178. First we will calculate the prime factors of 8172 and 8178.
Prime Factorization of 8172
Prime factors of 8172 are 2, 3, 227. Prime factorization of 8172 in exponential form is:
8172 = 22 × 32 × 2271
Prime Factorization of 8178
Prime factors of 8178 are 2, 3, 29, 47. Prime factorization of 8178 in exponential form is:
8178 = 21 × 31 × 291 × 471
Now multiplying the highest exponent prime factors to calculate the LCM of 8172 and 8178.
LCM(8172,8178) = 22 × 32 × 2271 × 291 × 471
LCM(8172,8178) = 11138436
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