What is the Least Common Multiple of 11319 and 11334?

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 11319 and 11334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11319 and 11334, than apply into the LCM equation.

GCF(11319,11334) = 3
LCM(11319,11334) = ( 11319 × 11334) / 3
LCM(11319,11334) = 128289546 / 3
LCM(11319,11334) = 42763182

Least Common Multiple (LCM) of 11319 and 11334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11319 and 11334. First we will calculate the prime factors of 11319 and 11334.

Prime Factorization of 11319

Prime Factorization of 11334

Now multiplying the highest exponent prime factors to calculate the LCM of 11319 and 11334.

LCM(11319,11334) = 3¹ × 7³ × 11¹ × 2¹ × 1889¹
LCM(11319,11334) = 42763182