What is the Least Common Multiple of 21194 and 21210?

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 21194 and 21210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21194 and 21210, than apply into the LCM equation.

GCF(21194,21210) = 2
LCM(21194,21210) = ( 21194 × 21210) / 2
LCM(21194,21210) = 449524740 / 2
LCM(21194,21210) = 224762370

Least Common Multiple (LCM) of 21194 and 21210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21194 and 21210. First we will calculate the prime factors of 21194 and 21210.

Prime Factorization of 21194

Prime Factorization of 21210

Now multiplying the highest exponent prime factors to calculate the LCM of 21194 and 21210.

LCM(21194,21210) = 2¹ × 10597¹ × 3¹ × 5¹ × 7¹ × 101¹
LCM(21194,21210) = 224762370