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What is the Least Common Multiple of 16434 and 16445?

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 16434 and 16445 is 24568830.

LCM(16434,16445) = 24568830

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Least Common Multiple of 16434 and 16445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16434 and 16445, than apply into the LCM equation.

GCF(16434,16445) = 11
LCM(16434,16445) = ( 16434 × 16445) / 11
LCM(16434,16445) = 270257130 / 11
LCM(16434,16445) = 24568830

Least Common Multiple (LCM) of 16434 and 16445 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16434 and 16445. First we will calculate the prime factors of 16434 and 16445.

Prime Factorization of 16434

Prime factors of 16434 are 2, 3, 11, 83. Prime factorization of 16434 in exponential form is:

16434 = 21 × 32 × 111 × 831

Prime Factorization of 16445

Prime factors of 16445 are 5, 11, 13, 23. Prime factorization of 16445 in exponential form is:

16445 = 51 × 111 × 131 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 16434 and 16445.

LCM(16434,16445) = 21 × 32 × 111 × 831 × 51 × 131 × 231
LCM(16434,16445) = 24568830