What is the Least Common Multiple of 16476 and 16482?
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 16476 and 16482 is 45259572.
LCM(16476,16482) = 45259572
Least Common Multiple of 16476 and 16482 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16476 and 16482, than apply into the LCM equation.
GCF(16476,16482) = 6
LCM(16476,16482) = ( 16476 × 16482) / 6
LCM(16476,16482) = 271557432 / 6
LCM(16476,16482) = 45259572
Least Common Multiple (LCM) of 16476 and 16482 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16476 and 16482. First we will calculate the prime factors of 16476 and 16482.
Prime Factorization of 16476
Prime factors of 16476 are 2, 3, 1373. Prime factorization of 16476 in exponential form is:
16476 = 22 × 31 × 13731
Prime Factorization of 16482
Prime factors of 16482 are 2, 3, 41, 67. Prime factorization of 16482 in exponential form is:
16482 = 21 × 31 × 411 × 671
Now multiplying the highest exponent prime factors to calculate the LCM of 16476 and 16482.
LCM(16476,16482) = 22 × 31 × 13731 × 411 × 671
LCM(16476,16482) = 45259572
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