What is the Least Common Multiple of 29166 and 29172?

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 29166 and 29172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29166 and 29172, than apply into the LCM equation.

GCF(29166,29172) = 6
LCM(29166,29172) = ( 29166 × 29172) / 6
LCM(29166,29172) = 850830552 / 6
LCM(29166,29172) = 141805092

Least Common Multiple (LCM) of 29166 and 29172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29166 and 29172. First we will calculate the prime factors of 29166 and 29172.

Prime Factorization of 29166

Prime Factorization of 29172

Now multiplying the highest exponent prime factors to calculate the LCM of 29166 and 29172.

LCM(29166,29172) = 2² × 3¹ × 4861¹ × 11¹ × 13¹ × 17¹
LCM(29166,29172) = 141805092