What is the Least Common Multiple of 11300 and 11315?

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 of 11300 and 11315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11300 and 11315, than apply into the LCM equation.

GCF(11300,11315) = 5
LCM(11300,11315) = ( 11300 × 11315) / 5
LCM(11300,11315) = 127859500 / 5
LCM(11300,11315) = 25571900

Least Common Multiple (LCM) of 11300 and 11315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11300 and 11315. First we will calculate the prime factors of 11300 and 11315.

Prime Factorization of 11300

Prime Factorization of 11315

Now multiplying the highest exponent prime factors to calculate the LCM of 11300 and 11315.

LCM(11300,11315) = 2² × 5² × 113¹ × 31¹ × 73¹
LCM(11300,11315) = 25571900