GCF and LCM Calculator Logo

What is the Least Common Multiple of 11645 and 11654?

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 11645 and 11654 is 135710830.

LCM(11645,11654) = 135710830

LCM Calculator and
and

Least Common Multiple of 11645 and 11654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11645 and 11654, than apply into the LCM equation.

GCF(11645,11654) = 1
LCM(11645,11654) = ( 11645 × 11654) / 1
LCM(11645,11654) = 135710830 / 1
LCM(11645,11654) = 135710830

Least Common Multiple (LCM) of 11645 and 11654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11645 and 11654. First we will calculate the prime factors of 11645 and 11654.

Prime Factorization of 11645

Prime factors of 11645 are 5, 17, 137. Prime factorization of 11645 in exponential form is:

11645 = 51 × 171 × 1371

Prime Factorization of 11654

Prime factors of 11654 are 2, 5827. Prime factorization of 11654 in exponential form is:

11654 = 21 × 58271

Now multiplying the highest exponent prime factors to calculate the LCM of 11645 and 11654.

LCM(11645,11654) = 51 × 171 × 1371 × 21 × 58271
LCM(11645,11654) = 135710830