What is the Least Common Multiple of 34488 and 34492?

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 34488 and 34492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34488 and 34492, than apply into the LCM equation.

GCF(34488,34492) = 4
LCM(34488,34492) = ( 34488 × 34492) / 4
LCM(34488,34492) = 1189560096 / 4
LCM(34488,34492) = 297390024

Least Common Multiple (LCM) of 34488 and 34492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34488 and 34492. First we will calculate the prime factors of 34488 and 34492.

Prime Factorization of 34488

Prime Factorization of 34492

Now multiplying the highest exponent prime factors to calculate the LCM of 34488 and 34492.

LCM(34488,34492) = 2³ × 3² × 479¹ × 8623¹
LCM(34488,34492) = 297390024