What is the Least Common Multiple of 8060 and 8064?
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 8060 and 8064 is 16248960.
LCM(8060,8064) = 16248960
Least Common Multiple of 8060 and 8064 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8060 and 8064, than apply into the LCM equation.
GCF(8060,8064) = 4
LCM(8060,8064) = ( 8060 × 8064) / 4
LCM(8060,8064) = 64995840 / 4
LCM(8060,8064) = 16248960
Least Common Multiple (LCM) of 8060 and 8064 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8060 and 8064. First we will calculate the prime factors of 8060 and 8064.
Prime Factorization of 8060
Prime factors of 8060 are 2, 5, 13, 31. Prime factorization of 8060 in exponential form is:
8060 = 22 × 51 × 131 × 311
Prime Factorization of 8064
Prime factors of 8064 are 2, 3, 7. Prime factorization of 8064 in exponential form is:
8064 = 27 × 32 × 71
Now multiplying the highest exponent prime factors to calculate the LCM of 8060 and 8064.
LCM(8060,8064) = 27 × 51 × 131 × 311 × 32 × 71
LCM(8060,8064) = 16248960
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