What is the Least Common Multiple of 21180 and 21184?

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 21180 and 21184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21180 and 21184, than apply into the LCM equation.

GCF(21180,21184) = 4
LCM(21180,21184) = ( 21180 × 21184) / 4
LCM(21180,21184) = 448677120 / 4
LCM(21180,21184) = 112169280

Least Common Multiple (LCM) of 21180 and 21184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21180 and 21184. First we will calculate the prime factors of 21180 and 21184.

Prime Factorization of 21180

Prime Factorization of 21184

Now multiplying the highest exponent prime factors to calculate the LCM of 21180 and 21184.

LCM(21180,21184) = 2⁶ × 3¹ × 5¹ × 353¹ × 331¹
LCM(21180,21184) = 112169280