What is the Least Common Multiple of 21004 and 21018?

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 21004 and 21018 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21004 and 21018, than apply into the LCM equation.

GCF(21004,21018) = 2
LCM(21004,21018) = ( 21004 × 21018) / 2
LCM(21004,21018) = 441462072 / 2
LCM(21004,21018) = 220731036

Least Common Multiple (LCM) of 21004 and 21018 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21004 and 21018. First we will calculate the prime factors of 21004 and 21018.

Prime Factorization of 21004

Prime Factorization of 21018

Now multiplying the highest exponent prime factors to calculate the LCM of 21004 and 21018.

LCM(21004,21018) = 2² × 59¹ × 89¹ × 3¹ × 31¹ × 113¹
LCM(21004,21018) = 220731036