GCF and LCM Calculator Logo

What is the Least Common Multiple of 69045 and 69051?

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 69045 and 69051 is 1589208765.

LCM(69045,69051) = 1589208765

LCM Calculator and
and

Least Common Multiple of 69045 and 69051 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69045 and 69051, than apply into the LCM equation.

GCF(69045,69051) = 3
LCM(69045,69051) = ( 69045 × 69051) / 3
LCM(69045,69051) = 4767626295 / 3
LCM(69045,69051) = 1589208765

Least Common Multiple (LCM) of 69045 and 69051 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69045 and 69051. First we will calculate the prime factors of 69045 and 69051.

Prime Factorization of 69045

Prime factors of 69045 are 3, 5, 4603. Prime factorization of 69045 in exponential form is:

69045 = 31 × 51 × 46031

Prime Factorization of 69051

Prime factors of 69051 are 3, 23017. Prime factorization of 69051 in exponential form is:

69051 = 31 × 230171

Now multiplying the highest exponent prime factors to calculate the LCM of 69045 and 69051.

LCM(69045,69051) = 31 × 51 × 46031 × 230171
LCM(69045,69051) = 1589208765