GCF and LCM Calculator Logo

What is the Least Common Multiple of 11288 and 11301?

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 11288 and 11301 is 127565688.

LCM(11288,11301) = 127565688

LCM Calculator and
and

Least Common Multiple of 11288 and 11301 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11288 and 11301, than apply into the LCM equation.

GCF(11288,11301) = 1
LCM(11288,11301) = ( 11288 × 11301) / 1
LCM(11288,11301) = 127565688 / 1
LCM(11288,11301) = 127565688

Least Common Multiple (LCM) of 11288 and 11301 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11288 and 11301. First we will calculate the prime factors of 11288 and 11301.

Prime Factorization of 11288

Prime factors of 11288 are 2, 17, 83. Prime factorization of 11288 in exponential form is:

11288 = 23 × 171 × 831

Prime Factorization of 11301

Prime factors of 11301 are 3, 3767. Prime factorization of 11301 in exponential form is:

11301 = 31 × 37671

Now multiplying the highest exponent prime factors to calculate the LCM of 11288 and 11301.

LCM(11288,11301) = 23 × 171 × 831 × 31 × 37671
LCM(11288,11301) = 127565688