What is the Least Common Multiple of 16155 and 16159?
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 16155 and 16159 is 261048645.
LCM(16155,16159) = 261048645
Least Common Multiple of 16155 and 16159 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16155 and 16159, than apply into the LCM equation.
GCF(16155,16159) = 1
LCM(16155,16159) = ( 16155 × 16159) / 1
LCM(16155,16159) = 261048645 / 1
LCM(16155,16159) = 261048645
Least Common Multiple (LCM) of 16155 and 16159 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16155 and 16159. First we will calculate the prime factors of 16155 and 16159.
Prime Factorization of 16155
Prime factors of 16155 are 3, 5, 359. Prime factorization of 16155 in exponential form is:
16155 = 32 × 51 × 3591
Prime Factorization of 16159
Prime factors of 16159 are 11, 13, 113. Prime factorization of 16159 in exponential form is:
16159 = 111 × 131 × 1131
Now multiplying the highest exponent prime factors to calculate the LCM of 16155 and 16159.
LCM(16155,16159) = 32 × 51 × 3591 × 111 × 131 × 1131
LCM(16155,16159) = 261048645
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