What is the Least Common Multiple of 21028 and 21042?

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 21028 and 21042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21028 and 21042, than apply into the LCM equation.

GCF(21028,21042) = 14
LCM(21028,21042) = ( 21028 × 21042) / 14
LCM(21028,21042) = 442471176 / 14
LCM(21028,21042) = 31605084

Least Common Multiple (LCM) of 21028 and 21042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21028 and 21042. First we will calculate the prime factors of 21028 and 21042.

Prime Factorization of 21028

Prime Factorization of 21042

Now multiplying the highest exponent prime factors to calculate the LCM of 21028 and 21042.

LCM(21028,21042) = 2² × 7¹ × 751¹ × 3² × 167¹
LCM(21028,21042) = 31605084