What is the Least Common Multiple of 32094 and 32108?
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 32094 and 32108 is 515237076.
LCM(32094,32108) = 515237076
Least Common Multiple of 32094 and 32108 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32094 and 32108, than apply into the LCM equation.
GCF(32094,32108) = 2
LCM(32094,32108) = ( 32094 × 32108) / 2
LCM(32094,32108) = 1030474152 / 2
LCM(32094,32108) = 515237076
Least Common Multiple (LCM) of 32094 and 32108 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 32094 and 32108. First we will calculate the prime factors of 32094 and 32108.
Prime Factorization of 32094
Prime factors of 32094 are 2, 3, 1783. Prime factorization of 32094 in exponential form is:
32094 = 21 × 32 × 17831
Prime Factorization of 32108
Prime factors of 32108 are 2, 23, 349. Prime factorization of 32108 in exponential form is:
32108 = 22 × 231 × 3491
Now multiplying the highest exponent prime factors to calculate the LCM of 32094 and 32108.
LCM(32094,32108) = 22 × 32 × 17831 × 231 × 3491
LCM(32094,32108) = 515237076
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