What is the Least Common Multiple of 21054 and 21068?

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 21054 and 21068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21054 and 21068, than apply into the LCM equation.

GCF(21054,21068) = 2
LCM(21054,21068) = ( 21054 × 21068) / 2
LCM(21054,21068) = 443565672 / 2
LCM(21054,21068) = 221782836

Least Common Multiple (LCM) of 21054 and 21068 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21054 and 21068. First we will calculate the prime factors of 21054 and 21068.

Prime Factorization of 21054

Prime Factorization of 21068

Now multiplying the highest exponent prime factors to calculate the LCM of 21054 and 21068.

LCM(21054,21068) = 2² × 3¹ × 11² × 29¹ × 23¹ × 229¹
LCM(21054,21068) = 221782836