What is the Least Common Multiple of 19458 and 19468?

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 19468 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 19468, than apply into the LCM equation.

GCF(19458,19468) = 2
LCM(19458,19468) = ( 19458 × 19468) / 2
LCM(19458,19468) = 378808344 / 2
LCM(19458,19468) = 189404172

Least Common Multiple (LCM) of 19458 and 19468 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19458 and 19468. First we will calculate the prime factors of 19458 and 19468.

Prime Factorization of 19458

Prime Factorization of 19468

Now multiplying the highest exponent prime factors to calculate the LCM of 19458 and 19468.

LCM(19458,19468) = 2² × 3² × 23¹ × 47¹ × 31¹ × 157¹
LCM(19458,19468) = 189404172