What is the Least Common Multiple of 16446 and 16464?
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 16446 and 16464 is 45127824.
LCM(16446,16464) = 45127824
Least Common Multiple of 16446 and 16464 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16446 and 16464, than apply into the LCM equation.
GCF(16446,16464) = 6
LCM(16446,16464) = ( 16446 × 16464) / 6
LCM(16446,16464) = 270766944 / 6
LCM(16446,16464) = 45127824
Least Common Multiple (LCM) of 16446 and 16464 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16446 and 16464. First we will calculate the prime factors of 16446 and 16464.
Prime Factorization of 16446
Prime factors of 16446 are 2, 3, 2741. Prime factorization of 16446 in exponential form is:
16446 = 21 × 31 × 27411
Prime Factorization of 16464
Prime factors of 16464 are 2, 3, 7. Prime factorization of 16464 in exponential form is:
16464 = 24 × 31 × 73
Now multiplying the highest exponent prime factors to calculate the LCM of 16446 and 16464.
LCM(16446,16464) = 24 × 31 × 27411 × 73
LCM(16446,16464) = 45127824
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