What is the Least Common Multiple of 21032 and 21046?

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 21032 and 21046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21032 and 21046, than apply into the LCM equation.

GCF(21032,21046) = 2
LCM(21032,21046) = ( 21032 × 21046) / 2
LCM(21032,21046) = 442639472 / 2
LCM(21032,21046) = 221319736

Least Common Multiple (LCM) of 21032 and 21046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21032 and 21046. First we will calculate the prime factors of 21032 and 21046.

Prime Factorization of 21032

Prime Factorization of 21046

Now multiplying the highest exponent prime factors to calculate the LCM of 21032 and 21046.

LCM(21032,21046) = 2³ × 11¹ × 239¹ × 17¹ × 619¹
LCM(21032,21046) = 221319736