What is the Least Common Multiple of 29186 and 29204?

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 29186 and 29204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29186 and 29204, than apply into the LCM equation.

GCF(29186,29204) = 2
LCM(29186,29204) = ( 29186 × 29204) / 2
LCM(29186,29204) = 852347944 / 2
LCM(29186,29204) = 426173972

Least Common Multiple (LCM) of 29186 and 29204 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29186 and 29204. First we will calculate the prime factors of 29186 and 29204.

Prime Factorization of 29186

Prime Factorization of 29204

Now multiplying the highest exponent prime factors to calculate the LCM of 29186 and 29204.

LCM(29186,29204) = 2² × 14593¹ × 7² × 149¹
LCM(29186,29204) = 426173972