What is the Least Common Multiple of 29230 and 29250?

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 29230 and 29250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29230 and 29250, than apply into the LCM equation.

GCF(29230,29250) = 10
LCM(29230,29250) = ( 29230 × 29250) / 10
LCM(29230,29250) = 854977500 / 10
LCM(29230,29250) = 85497750

Least Common Multiple (LCM) of 29230 and 29250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29230 and 29250. First we will calculate the prime factors of 29230 and 29250.

Prime Factorization of 29230

Prime Factorization of 29250

Now multiplying the highest exponent prime factors to calculate the LCM of 29230 and 29250.

LCM(29230,29250) = 2¹ × 5³ × 37¹ × 79¹ × 3² × 13¹
LCM(29230,29250) = 85497750