What is the Least Common Multiple of 21038 and 21058?

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 21038 and 21058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21038 and 21058, than apply into the LCM equation.

GCF(21038,21058) = 2
LCM(21038,21058) = ( 21038 × 21058) / 2
LCM(21038,21058) = 443018204 / 2
LCM(21038,21058) = 221509102

Least Common Multiple (LCM) of 21038 and 21058 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21038 and 21058. First we will calculate the prime factors of 21038 and 21058.

Prime Factorization of 21038

Prime Factorization of 21058

Now multiplying the highest exponent prime factors to calculate the LCM of 21038 and 21058.

LCM(21038,21058) = 2¹ × 67¹ × 157¹ × 10529¹
LCM(21038,21058) = 221509102