What is the Least Common Multiple of 21066 and 21078?

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 21078 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 21078, than apply into the LCM equation.

GCF(21066,21078) = 6
LCM(21066,21078) = ( 21066 × 21078) / 6
LCM(21066,21078) = 444029148 / 6
LCM(21066,21078) = 74004858

Least Common Multiple (LCM) of 21066 and 21078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21066 and 21078. First we will calculate the prime factors of 21066 and 21078.

Prime Factorization of 21066

Prime Factorization of 21078

Now multiplying the highest exponent prime factors to calculate the LCM of 21066 and 21078.

LCM(21066,21078) = 2¹ × 3² × 3511¹ × 1171¹
LCM(21066,21078) = 74004858