GCF and LCM Calculator Logo

What is the Least Common Multiple of 15029 and 15046?

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 15029 and 15046 is 226126334.

LCM(15029,15046) = 226126334

LCM Calculator and
and

Least Common Multiple of 15029 and 15046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15029 and 15046, than apply into the LCM equation.

GCF(15029,15046) = 1
LCM(15029,15046) = ( 15029 × 15046) / 1
LCM(15029,15046) = 226126334 / 1
LCM(15029,15046) = 226126334

Least Common Multiple (LCM) of 15029 and 15046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15029 and 15046. First we will calculate the prime factors of 15029 and 15046.

Prime Factorization of 15029

Prime factors of 15029 are 7, 19, 113. Prime factorization of 15029 in exponential form is:

15029 = 71 × 191 × 1131

Prime Factorization of 15046

Prime factors of 15046 are 2, 7523. Prime factorization of 15046 in exponential form is:

15046 = 21 × 75231

Now multiplying the highest exponent prime factors to calculate the LCM of 15029 and 15046.

LCM(15029,15046) = 71 × 191 × 1131 × 21 × 75231
LCM(15029,15046) = 226126334