What is the Least Common Multiple of 29478 and 29497?

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 29478 and 29497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29478 and 29497, than apply into the LCM equation.

GCF(29478,29497) = 1
LCM(29478,29497) = ( 29478 × 29497) / 1
LCM(29478,29497) = 869512566 / 1
LCM(29478,29497) = 869512566

Least Common Multiple (LCM) of 29478 and 29497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29478 and 29497. First we will calculate the prime factors of 29478 and 29497.

Prime Factorization of 29478

Prime Factorization of 29497

Now multiplying the highest exponent prime factors to calculate the LCM of 29478 and 29497.

LCM(29478,29497) = 2¹ × 3¹ × 17³ × 13¹ × 2269¹
LCM(29478,29497) = 869512566