What is the Least Common Multiple of 29128 and 29132?

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 29128 and 29132 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29128 and 29132, than apply into the LCM equation.

GCF(29128,29132) = 4
LCM(29128,29132) = ( 29128 × 29132) / 4
LCM(29128,29132) = 848556896 / 4
LCM(29128,29132) = 212139224

Least Common Multiple (LCM) of 29128 and 29132 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29128 and 29132. First we will calculate the prime factors of 29128 and 29132.

Prime Factorization of 29128

Prime Factorization of 29132

Now multiplying the highest exponent prime factors to calculate the LCM of 29128 and 29132.

LCM(29128,29132) = 2³ × 11¹ × 331¹ × 7283¹
LCM(29128,29132) = 212139224