What is the Least Common Multiple of 86 and 104?
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 86 and 104 is 4472.
LCM(86,104) = 4472
Least Common Multiple of 86 and 104 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86 and 104, than apply into the LCM equation.
GCF(86,104) = 2
LCM(86,104) = ( 86 × 104) / 2
LCM(86,104) = 8944 / 2
LCM(86,104) = 4472
Least Common Multiple (LCM) of 86 and 104 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 86 and 104. First we will calculate the prime factors of 86 and 104.
Prime Factorization of 86
Prime factors of 86 are 2, 43. Prime factorization of 86 in exponential form is:
86 = 21 × 431
Prime Factorization of 104
Prime factors of 104 are 2, 13. Prime factorization of 104 in exponential form is:
104 = 23 × 131
Now multiplying the highest exponent prime factors to calculate the LCM of 86 and 104.
LCM(86,104) = 23 × 431 × 131
LCM(86,104) = 4472
Related Least Common Multiples of 86
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