What is the Least Common Multiple of 19221 and 19234?

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 19221 and 19234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19221 and 19234, than apply into the LCM equation.

GCF(19221,19234) = 1
LCM(19221,19234) = ( 19221 × 19234) / 1
LCM(19221,19234) = 369696714 / 1
LCM(19221,19234) = 369696714

Least Common Multiple (LCM) of 19221 and 19234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19221 and 19234. First we will calculate the prime factors of 19221 and 19234.

Prime Factorization of 19221

Prime Factorization of 19234

Now multiplying the highest exponent prime factors to calculate the LCM of 19221 and 19234.

LCM(19221,19234) = 3¹ × 43¹ × 149¹ × 2¹ × 59¹ × 163¹
LCM(19221,19234) = 369696714