What is the Least Common Multiple of 16098 and 16104?
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 16098 and 16104 is 43207032.
LCM(16098,16104) = 43207032
Least Common Multiple of 16098 and 16104 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16098 and 16104, than apply into the LCM equation.
GCF(16098,16104) = 6
LCM(16098,16104) = ( 16098 × 16104) / 6
LCM(16098,16104) = 259242192 / 6
LCM(16098,16104) = 43207032
Least Common Multiple (LCM) of 16098 and 16104 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16098 and 16104. First we will calculate the prime factors of 16098 and 16104.
Prime Factorization of 16098
Prime factors of 16098 are 2, 3, 2683. Prime factorization of 16098 in exponential form is:
16098 = 21 × 31 × 26831
Prime Factorization of 16104
Prime factors of 16104 are 2, 3, 11, 61. Prime factorization of 16104 in exponential form is:
16104 = 23 × 31 × 111 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 16098 and 16104.
LCM(16098,16104) = 23 × 31 × 26831 × 111 × 611
LCM(16098,16104) = 43207032
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