What is the Least Common Multiple of 16489 and 16495?
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 16489 and 16495 is 271986055.
LCM(16489,16495) = 271986055
Least Common Multiple of 16489 and 16495 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16489 and 16495, than apply into the LCM equation.
GCF(16489,16495) = 1
LCM(16489,16495) = ( 16489 × 16495) / 1
LCM(16489,16495) = 271986055 / 1
LCM(16489,16495) = 271986055
Least Common Multiple (LCM) of 16489 and 16495 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16489 and 16495. First we will calculate the prime factors of 16489 and 16495.
Prime Factorization of 16489
Prime factors of 16489 are 11, 1499. Prime factorization of 16489 in exponential form is:
16489 = 111 × 14991
Prime Factorization of 16495
Prime factors of 16495 are 5, 3299. Prime factorization of 16495 in exponential form is:
16495 = 51 × 32991
Now multiplying the highest exponent prime factors to calculate the LCM of 16489 and 16495.
LCM(16489,16495) = 111 × 14991 × 51 × 32991
LCM(16489,16495) = 271986055
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