What is the Least Common Multiple of 29174 and 29182?

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 29182 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 29182, than apply into the LCM equation.

GCF(29174,29182) = 2
LCM(29174,29182) = ( 29174 × 29182) / 2
LCM(29174,29182) = 851355668 / 2
LCM(29174,29182) = 425677834

Least Common Multiple (LCM) of 29174 and 29182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29174 and 29182. First we will calculate the prime factors of 29174 and 29182.

Prime Factorization of 29174

Prime Factorization of 29182

Now multiplying the highest exponent prime factors to calculate the LCM of 29174 and 29182.

LCM(29174,29182) = 2¹ × 29¹ × 503¹ × 14591¹
LCM(29174,29182) = 425677834