What is the Least Common Multiple of 21066 and 21081?

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 21066 and 21081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21066 and 21081, than apply into the LCM equation.

GCF(21066,21081) = 3
LCM(21066,21081) = ( 21066 × 21081) / 3
LCM(21066,21081) = 444092346 / 3
LCM(21066,21081) = 148030782

Least Common Multiple (LCM) of 21066 and 21081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21066 and 21081. First we will calculate the prime factors of 21066 and 21081.

Prime Factorization of 21066

Prime Factorization of 21081

Now multiplying the highest exponent prime factors to calculate the LCM of 21066 and 21081.

LCM(21066,21081) = 2¹ × 3¹ × 3511¹ × 7027¹
LCM(21066,21081) = 148030782