What is the Least Common Multiple of 21070 and 21084?

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 21070 and 21084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21070 and 21084, than apply into the LCM equation.

GCF(21070,21084) = 14
LCM(21070,21084) = ( 21070 × 21084) / 14
LCM(21070,21084) = 444239880 / 14
LCM(21070,21084) = 31731420

Least Common Multiple (LCM) of 21070 and 21084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21070 and 21084. First we will calculate the prime factors of 21070 and 21084.

Prime Factorization of 21070

Prime Factorization of 21084

Now multiplying the highest exponent prime factors to calculate the LCM of 21070 and 21084.

LCM(21070,21084) = 2² × 5¹ × 7² × 43¹ × 3¹ × 251¹
LCM(21070,21084) = 31731420