What is the Least Common Multiple of 29488 and 29507?

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 29488 and 29507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29488 and 29507, than apply into the LCM equation.

GCF(29488,29507) = 19
LCM(29488,29507) = ( 29488 × 29507) / 19
LCM(29488,29507) = 870102416 / 19
LCM(29488,29507) = 45794864

Least Common Multiple (LCM) of 29488 and 29507 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29488 and 29507. First we will calculate the prime factors of 29488 and 29507.

Prime Factorization of 29488

Prime Factorization of 29507

Now multiplying the highest exponent prime factors to calculate the LCM of 29488 and 29507.

LCM(29488,29507) = 2⁴ × 19¹ × 97¹ × 1553¹
LCM(29488,29507) = 45794864