What is the Least Common Multiple of 11200 and 11213?

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 11200 and 11213 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11200 and 11213, than apply into the LCM equation.

GCF(11200,11213) = 1
LCM(11200,11213) = ( 11200 × 11213) / 1
LCM(11200,11213) = 125585600 / 1
LCM(11200,11213) = 125585600

Least Common Multiple (LCM) of 11200 and 11213 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11200 and 11213. First we will calculate the prime factors of 11200 and 11213.

Prime Factorization of 11200

Prime Factorization of 11213

Now multiplying the highest exponent prime factors to calculate the LCM of 11200 and 11213.

LCM(11200,11213) = 2⁶ × 5² × 7¹ × 11213¹
LCM(11200,11213) = 125585600