What is the Least Common Multiple of 21014 and 21028?

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 21014 and 21028 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21014 and 21028, than apply into the LCM equation.

GCF(21014,21028) = 14
LCM(21014,21028) = ( 21014 × 21028) / 14
LCM(21014,21028) = 441882392 / 14
LCM(21014,21028) = 31563028

Least Common Multiple (LCM) of 21014 and 21028 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21014 and 21028. First we will calculate the prime factors of 21014 and 21028.

Prime Factorization of 21014

Prime Factorization of 21028

Now multiplying the highest exponent prime factors to calculate the LCM of 21014 and 21028.

LCM(21014,21028) = 2² × 7¹ × 19¹ × 79¹ × 751¹
LCM(21014,21028) = 31563028