What is the Least Common Multiple of 29490 and 29500?

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 29490 and 29500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29490 and 29500, than apply into the LCM equation.

GCF(29490,29500) = 10
LCM(29490,29500) = ( 29490 × 29500) / 10
LCM(29490,29500) = 869955000 / 10
LCM(29490,29500) = 86995500

Least Common Multiple (LCM) of 29490 and 29500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29490 and 29500. First we will calculate the prime factors of 29490 and 29500.

Prime Factorization of 29490

Prime Factorization of 29500

Now multiplying the highest exponent prime factors to calculate the LCM of 29490 and 29500.

LCM(29490,29500) = 2² × 3¹ × 5³ × 983¹ × 59¹
LCM(29490,29500) = 86995500