What is the Least Common Multiple of 11312 and 11319?

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 11312 and 11319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11312 and 11319, than apply into the LCM equation.

GCF(11312,11319) = 7
LCM(11312,11319) = ( 11312 × 11319) / 7
LCM(11312,11319) = 128040528 / 7
LCM(11312,11319) = 18291504

Least Common Multiple (LCM) of 11312 and 11319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11312 and 11319. First we will calculate the prime factors of 11312 and 11319.

Prime Factorization of 11312

Prime Factorization of 11319

Now multiplying the highest exponent prime factors to calculate the LCM of 11312 and 11319.

LCM(11312,11319) = 2⁴ × 7³ × 101¹ × 3¹ × 11¹
LCM(11312,11319) = 18291504