GCF and LCM Calculator Logo

What is the Least Common Multiple of 69144 and 69149?

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 69144 and 69149 is 4781238456.

LCM(69144,69149) = 4781238456

LCM Calculator and
and

Least Common Multiple of 69144 and 69149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69144 and 69149, than apply into the LCM equation.

GCF(69144,69149) = 1
LCM(69144,69149) = ( 69144 × 69149) / 1
LCM(69144,69149) = 4781238456 / 1
LCM(69144,69149) = 4781238456

Least Common Multiple (LCM) of 69144 and 69149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69144 and 69149. First we will calculate the prime factors of 69144 and 69149.

Prime Factorization of 69144

Prime factors of 69144 are 2, 3, 43, 67. Prime factorization of 69144 in exponential form is:

69144 = 23 × 31 × 431 × 671

Prime Factorization of 69149

Prime factors of 69149 are 69149. Prime factorization of 69149 in exponential form is:

69149 = 691491

Now multiplying the highest exponent prime factors to calculate the LCM of 69144 and 69149.

LCM(69144,69149) = 23 × 31 × 431 × 671 × 691491
LCM(69144,69149) = 4781238456