What is the Least Common Multiple of 19458 and 19472?

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 19458 and 19472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19458 and 19472, than apply into the LCM equation.

GCF(19458,19472) = 2
LCM(19458,19472) = ( 19458 × 19472) / 2
LCM(19458,19472) = 378886176 / 2
LCM(19458,19472) = 189443088

Least Common Multiple (LCM) of 19458 and 19472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19458 and 19472. First we will calculate the prime factors of 19458 and 19472.

Prime Factorization of 19458

Prime Factorization of 19472

Now multiplying the highest exponent prime factors to calculate the LCM of 19458 and 19472.

LCM(19458,19472) = 2⁴ × 3² × 23¹ × 47¹ × 1217¹
LCM(19458,19472) = 189443088