What is the Least Common Multiple of 29485 and 29493?

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 29485 and 29493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29485 and 29493, than apply into the LCM equation.

GCF(29485,29493) = 1
LCM(29485,29493) = ( 29485 × 29493) / 1
LCM(29485,29493) = 869601105 / 1
LCM(29485,29493) = 869601105

Least Common Multiple (LCM) of 29485 and 29493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29485 and 29493. First we will calculate the prime factors of 29485 and 29493.

Prime Factorization of 29485

Prime Factorization of 29493

Now multiplying the highest exponent prime factors to calculate the LCM of 29485 and 29493.

LCM(29485,29493) = 5¹ × 5897¹ × 3² × 29¹ × 113¹
LCM(29485,29493) = 869601105