What is the Least Common Multiple of 16708 and 16712?
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 16708 and 16712 is 69806024.
LCM(16708,16712) = 69806024
Least Common Multiple of 16708 and 16712 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16708 and 16712, than apply into the LCM equation.
GCF(16708,16712) = 4
LCM(16708,16712) = ( 16708 × 16712) / 4
LCM(16708,16712) = 279224096 / 4
LCM(16708,16712) = 69806024
Least Common Multiple (LCM) of 16708 and 16712 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16708 and 16712. First we will calculate the prime factors of 16708 and 16712.
Prime Factorization of 16708
Prime factors of 16708 are 2, 4177. Prime factorization of 16708 in exponential form is:
16708 = 22 × 41771
Prime Factorization of 16712
Prime factors of 16712 are 2, 2089. Prime factorization of 16712 in exponential form is:
16712 = 23 × 20891
Now multiplying the highest exponent prime factors to calculate the LCM of 16708 and 16712.
LCM(16708,16712) = 23 × 41771 × 20891
LCM(16708,16712) = 69806024
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