What is the Least Common Multiple of 29445 and 29461?

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 29461 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 29461, than apply into the LCM equation.

GCF(29445,29461) = 1
LCM(29445,29461) = ( 29445 × 29461) / 1
LCM(29445,29461) = 867479145 / 1
LCM(29445,29461) = 867479145

Least Common Multiple (LCM) of 29445 and 29461 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29445 and 29461. First we will calculate the prime factors of 29445 and 29461.

Prime Factorization of 29445

Prime Factorization of 29461

Now multiplying the highest exponent prime factors to calculate the LCM of 29445 and 29461.

LCM(29445,29461) = 3¹ × 5¹ × 13¹ × 151¹ × 17¹ × 1733¹
LCM(29445,29461) = 867479145