What is the Least Common Multiple of 29250 and 29270?

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 29250 and 29270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29250 and 29270, than apply into the LCM equation.

GCF(29250,29270) = 10
LCM(29250,29270) = ( 29250 × 29270) / 10
LCM(29250,29270) = 856147500 / 10
LCM(29250,29270) = 85614750

Least Common Multiple (LCM) of 29250 and 29270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29250 and 29270. First we will calculate the prime factors of 29250 and 29270.

Prime Factorization of 29250

Prime Factorization of 29270

Now multiplying the highest exponent prime factors to calculate the LCM of 29250 and 29270.

LCM(29250,29270) = 2¹ × 3² × 5³ × 13¹ × 2927¹
LCM(29250,29270) = 85614750