What is the Least Common Multiple of 28696 and 28708?
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 28696 and 28708 is 205951192.
LCM(28696,28708) = 205951192
Least Common Multiple of 28696 and 28708 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28696 and 28708, than apply into the LCM equation.
GCF(28696,28708) = 4
LCM(28696,28708) = ( 28696 × 28708) / 4
LCM(28696,28708) = 823804768 / 4
LCM(28696,28708) = 205951192
Least Common Multiple (LCM) of 28696 and 28708 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28696 and 28708. First we will calculate the prime factors of 28696 and 28708.
Prime Factorization of 28696
Prime factors of 28696 are 2, 17, 211. Prime factorization of 28696 in exponential form is:
28696 = 23 × 171 × 2111
Prime Factorization of 28708
Prime factors of 28708 are 2, 7177. Prime factorization of 28708 in exponential form is:
28708 = 22 × 71771
Now multiplying the highest exponent prime factors to calculate the LCM of 28696 and 28708.
LCM(28696,28708) = 23 × 171 × 2111 × 71771
LCM(28696,28708) = 205951192
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