What is the Least Common Multiple of 21330 and 21342?

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 21330 and 21342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21330 and 21342, than apply into the LCM equation.

GCF(21330,21342) = 6
LCM(21330,21342) = ( 21330 × 21342) / 6
LCM(21330,21342) = 455224860 / 6
LCM(21330,21342) = 75870810

Least Common Multiple (LCM) of 21330 and 21342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21330 and 21342. First we will calculate the prime factors of 21330 and 21342.

Prime Factorization of 21330

Prime Factorization of 21342

Now multiplying the highest exponent prime factors to calculate the LCM of 21330 and 21342.

LCM(21330,21342) = 2¹ × 3³ × 5¹ × 79¹ × 3557¹
LCM(21330,21342) = 75870810