What is the Least Common Multiple of 16440 and 16446?
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 16440 and 16446 is 45062040.
LCM(16440,16446) = 45062040
Least Common Multiple of 16440 and 16446 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16440 and 16446, than apply into the LCM equation.
GCF(16440,16446) = 6
LCM(16440,16446) = ( 16440 × 16446) / 6
LCM(16440,16446) = 270372240 / 6
LCM(16440,16446) = 45062040
Least Common Multiple (LCM) of 16440 and 16446 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16440 and 16446. First we will calculate the prime factors of 16440 and 16446.
Prime Factorization of 16440
Prime factors of 16440 are 2, 3, 5, 137. Prime factorization of 16440 in exponential form is:
16440 = 23 × 31 × 51 × 1371
Prime Factorization of 16446
Prime factors of 16446 are 2, 3, 2741. Prime factorization of 16446 in exponential form is:
16446 = 21 × 31 × 27411
Now multiplying the highest exponent prime factors to calculate the LCM of 16440 and 16446.
LCM(16440,16446) = 23 × 31 × 51 × 1371 × 27411
LCM(16440,16446) = 45062040
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