GCF and LCM Calculator Logo

What is the Least Common Multiple of 16412 and 16432?

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 16412 and 16432 is 67420496.

LCM(16412,16432) = 67420496

LCM Calculator and
and

Least Common Multiple of 16412 and 16432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16412 and 16432, than apply into the LCM equation.

GCF(16412,16432) = 4
LCM(16412,16432) = ( 16412 × 16432) / 4
LCM(16412,16432) = 269681984 / 4
LCM(16412,16432) = 67420496

Least Common Multiple (LCM) of 16412 and 16432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16412 and 16432. First we will calculate the prime factors of 16412 and 16432.

Prime Factorization of 16412

Prime factors of 16412 are 2, 11, 373. Prime factorization of 16412 in exponential form is:

16412 = 22 × 111 × 3731

Prime Factorization of 16432

Prime factors of 16432 are 2, 13, 79. Prime factorization of 16432 in exponential form is:

16432 = 24 × 131 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 16412 and 16432.

LCM(16412,16432) = 24 × 111 × 3731 × 131 × 791
LCM(16412,16432) = 67420496