What is the Least Common Multiple of 16260 and 16267?
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 16260 and 16267 is 264501420.
LCM(16260,16267) = 264501420
Least Common Multiple of 16260 and 16267 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16260 and 16267, than apply into the LCM equation.
GCF(16260,16267) = 1
LCM(16260,16267) = ( 16260 × 16267) / 1
LCM(16260,16267) = 264501420 / 1
LCM(16260,16267) = 264501420
Least Common Multiple (LCM) of 16260 and 16267 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16260 and 16267. First we will calculate the prime factors of 16260 and 16267.
Prime Factorization of 16260
Prime factors of 16260 are 2, 3, 5, 271. Prime factorization of 16260 in exponential form is:
16260 = 22 × 31 × 51 × 2711
Prime Factorization of 16267
Prime factors of 16267 are 16267. Prime factorization of 16267 in exponential form is:
16267 = 162671
Now multiplying the highest exponent prime factors to calculate the LCM of 16260 and 16267.
LCM(16260,16267) = 22 × 31 × 51 × 2711 × 162671
LCM(16260,16267) = 264501420
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