What is the Least Common Multiple of 29174 and 29185?

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 29174 and 29185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29174 and 29185, than apply into the LCM equation.

GCF(29174,29185) = 1
LCM(29174,29185) = ( 29174 × 29185) / 1
LCM(29174,29185) = 851443190 / 1
LCM(29174,29185) = 851443190

Least Common Multiple (LCM) of 29174 and 29185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29174 and 29185. First we will calculate the prime factors of 29174 and 29185.

Prime Factorization of 29174

Prime Factorization of 29185

Now multiplying the highest exponent prime factors to calculate the LCM of 29174 and 29185.

LCM(29174,29185) = 2¹ × 29¹ × 503¹ × 5¹ × 13¹ × 449¹
LCM(29174,29185) = 851443190