What is the Least Common Multiple of 29445 and 29460?

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 29445 and 29460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29445 and 29460, than apply into the LCM equation.

GCF(29445,29460) = 15
LCM(29445,29460) = ( 29445 × 29460) / 15
LCM(29445,29460) = 867449700 / 15
LCM(29445,29460) = 57829980

Least Common Multiple (LCM) of 29445 and 29460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29445 and 29460. First we will calculate the prime factors of 29445 and 29460.

Prime Factorization of 29445

Prime Factorization of 29460

Now multiplying the highest exponent prime factors to calculate the LCM of 29445 and 29460.

LCM(29445,29460) = 3¹ × 5¹ × 13¹ × 151¹ × 2² × 491¹
LCM(29445,29460) = 57829980