What is the Least Common Multiple of 34488 and 34497?

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 34497 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 34497, than apply into the LCM equation.

GCF(34488,34497) = 9
LCM(34488,34497) = ( 34488 × 34497) / 9
LCM(34488,34497) = 1189732536 / 9
LCM(34488,34497) = 132192504

Least Common Multiple (LCM) of 34488 and 34497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34488 and 34497. First we will calculate the prime factors of 34488 and 34497.

Prime Factorization of 34488

Prime Factorization of 34497

Now multiplying the highest exponent prime factors to calculate the LCM of 34488 and 34497.

LCM(34488,34497) = 2³ × 3² × 479¹ × 3833¹
LCM(34488,34497) = 132192504