What is the Least Common Multiple of 11253 and 11265?

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 11253 and 11265 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11253 and 11265, than apply into the LCM equation.

GCF(11253,11265) = 3
LCM(11253,11265) = ( 11253 × 11265) / 3
LCM(11253,11265) = 126765045 / 3
LCM(11253,11265) = 42255015

Least Common Multiple (LCM) of 11253 and 11265 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11253 and 11265. First we will calculate the prime factors of 11253 and 11265.

Prime Factorization of 11253

Prime Factorization of 11265

Now multiplying the highest exponent prime factors to calculate the LCM of 11253 and 11265.

LCM(11253,11265) = 3¹ × 11² × 31¹ × 5¹ × 751¹
LCM(11253,11265) = 42255015