GCF and LCM Calculator Logo

What is the Least Common Multiple of 69141 and 69152?

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 69141 and 69152 is 4781238432.

LCM(69141,69152) = 4781238432

LCM Calculator and
and

Least Common Multiple of 69141 and 69152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69141 and 69152, than apply into the LCM equation.

GCF(69141,69152) = 1
LCM(69141,69152) = ( 69141 × 69152) / 1
LCM(69141,69152) = 4781238432 / 1
LCM(69141,69152) = 4781238432

Least Common Multiple (LCM) of 69141 and 69152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69141 and 69152. First we will calculate the prime factors of 69141 and 69152.

Prime Factorization of 69141

Prime factors of 69141 are 3, 19, 1213. Prime factorization of 69141 in exponential form is:

69141 = 31 × 191 × 12131

Prime Factorization of 69152

Prime factors of 69152 are 2, 2161. Prime factorization of 69152 in exponential form is:

69152 = 25 × 21611

Now multiplying the highest exponent prime factors to calculate the LCM of 69141 and 69152.

LCM(69141,69152) = 31 × 191 × 12131 × 25 × 21611
LCM(69141,69152) = 4781238432