What is the Least Common Multiple of 16211 and 16216?
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 16211 and 16216 is 262877576.
LCM(16211,16216) = 262877576
Least Common Multiple of 16211 and 16216 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16211 and 16216, than apply into the LCM equation.
GCF(16211,16216) = 1
LCM(16211,16216) = ( 16211 × 16216) / 1
LCM(16211,16216) = 262877576 / 1
LCM(16211,16216) = 262877576
Least Common Multiple (LCM) of 16211 and 16216 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16211 and 16216. First we will calculate the prime factors of 16211 and 16216.
Prime Factorization of 16211
Prime factors of 16211 are 13, 29, 43. Prime factorization of 16211 in exponential form is:
16211 = 131 × 291 × 431
Prime Factorization of 16216
Prime factors of 16216 are 2, 2027. Prime factorization of 16216 in exponential form is:
16216 = 23 × 20271
Now multiplying the highest exponent prime factors to calculate the LCM of 16211 and 16216.
LCM(16211,16216) = 131 × 291 × 431 × 23 × 20271
LCM(16211,16216) = 262877576
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