What is the Least Common Multiple of 11874 and 11882?

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 11874 and 11882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11874 and 11882, than apply into the LCM equation.

GCF(11874,11882) = 2
LCM(11874,11882) = ( 11874 × 11882) / 2
LCM(11874,11882) = 141086868 / 2
LCM(11874,11882) = 70543434

Least Common Multiple (LCM) of 11874 and 11882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11874 and 11882. First we will calculate the prime factors of 11874 and 11882.

Prime Factorization of 11874

Prime Factorization of 11882

Now multiplying the highest exponent prime factors to calculate the LCM of 11874 and 11882.

LCM(11874,11882) = 2¹ × 3¹ × 1979¹ × 13¹ × 457¹
LCM(11874,11882) = 70543434