What is the Least Common Multiple of 21912 and 21918?

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 21912 and 21918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21912 and 21918, than apply into the LCM equation.

GCF(21912,21918) = 6
LCM(21912,21918) = ( 21912 × 21918) / 6
LCM(21912,21918) = 480267216 / 6
LCM(21912,21918) = 80044536

Least Common Multiple (LCM) of 21912 and 21918 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21912 and 21918. First we will calculate the prime factors of 21912 and 21918.

Prime Factorization of 21912

Prime Factorization of 21918

Now multiplying the highest exponent prime factors to calculate the LCM of 21912 and 21918.

LCM(21912,21918) = 2³ × 3¹ × 11¹ × 83¹ × 13¹ × 281¹
LCM(21912,21918) = 80044536