What is the Least Common Multiple of 29148 and 29164?

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 29148 and 29164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29148 and 29164, than apply into the LCM equation.

GCF(29148,29164) = 4
LCM(29148,29164) = ( 29148 × 29164) / 4
LCM(29148,29164) = 850072272 / 4
LCM(29148,29164) = 212518068

Least Common Multiple (LCM) of 29148 and 29164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29148 and 29164. First we will calculate the prime factors of 29148 and 29164.

Prime Factorization of 29148

Prime Factorization of 29164

Now multiplying the highest exponent prime factors to calculate the LCM of 29148 and 29164.

LCM(29148,29164) = 2² × 3¹ × 7¹ × 347¹ × 23¹ × 317¹
LCM(29148,29164) = 212518068