What is the Least Common Multiple of 16262 and 16269?
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 16262 and 16269 is 264566478.
LCM(16262,16269) = 264566478
Least Common Multiple of 16262 and 16269 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16262 and 16269, than apply into the LCM equation.
GCF(16262,16269) = 1
LCM(16262,16269) = ( 16262 × 16269) / 1
LCM(16262,16269) = 264566478 / 1
LCM(16262,16269) = 264566478
Least Common Multiple (LCM) of 16262 and 16269 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16262 and 16269. First we will calculate the prime factors of 16262 and 16269.
Prime Factorization of 16262
Prime factors of 16262 are 2, 47, 173. Prime factorization of 16262 in exponential form is:
16262 = 21 × 471 × 1731
Prime Factorization of 16269
Prime factors of 16269 are 3, 11, 17, 29. Prime factorization of 16269 in exponential form is:
16269 = 31 × 111 × 171 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 16262 and 16269.
LCM(16262,16269) = 21 × 471 × 1731 × 31 × 111 × 171 × 291
LCM(16262,16269) = 264566478
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