What is the Least Common Multiple of 21054 and 21062?

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 21062 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 21062, than apply into the LCM equation.

GCF(21054,21062) = 2
LCM(21054,21062) = ( 21054 × 21062) / 2
LCM(21054,21062) = 443439348 / 2
LCM(21054,21062) = 221719674

Least Common Multiple (LCM) of 21054 and 21062 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21054 and 21062. First we will calculate the prime factors of 21054 and 21062.

Prime Factorization of 21054

Prime Factorization of 21062

Now multiplying the highest exponent prime factors to calculate the LCM of 21054 and 21062.

LCM(21054,21062) = 2¹ × 3¹ × 11² × 29¹ × 10531¹
LCM(21054,21062) = 221719674