What is the Least Common Multiple of 19236 and 19254?

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 19236 and 19254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19236 and 19254, than apply into the LCM equation.

GCF(19236,19254) = 6
LCM(19236,19254) = ( 19236 × 19254) / 6
LCM(19236,19254) = 370369944 / 6
LCM(19236,19254) = 61728324

Least Common Multiple (LCM) of 19236 and 19254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19236 and 19254. First we will calculate the prime factors of 19236 and 19254.

Prime Factorization of 19236

Prime Factorization of 19254

Now multiplying the highest exponent prime factors to calculate the LCM of 19236 and 19254.

LCM(19236,19254) = 2² × 3¹ × 7¹ × 229¹ × 3209¹
LCM(19236,19254) = 61728324