GCF and LCM Calculator Logo

What is the Least Common Multiple of 14436 and 14451?

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 14436 and 14451 is 69538212.

LCM(14436,14451) = 69538212

LCM Calculator and
and

Least Common Multiple of 14436 and 14451 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14436 and 14451, than apply into the LCM equation.

GCF(14436,14451) = 3
LCM(14436,14451) = ( 14436 × 14451) / 3
LCM(14436,14451) = 208614636 / 3
LCM(14436,14451) = 69538212

Least Common Multiple (LCM) of 14436 and 14451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14436 and 14451. First we will calculate the prime factors of 14436 and 14451.

Prime Factorization of 14436

Prime factors of 14436 are 2, 3, 401. Prime factorization of 14436 in exponential form is:

14436 = 22 × 32 × 4011

Prime Factorization of 14451

Prime factors of 14451 are 3, 4817. Prime factorization of 14451 in exponential form is:

14451 = 31 × 48171

Now multiplying the highest exponent prime factors to calculate the LCM of 14436 and 14451.

LCM(14436,14451) = 22 × 32 × 4011 × 48171
LCM(14436,14451) = 69538212