What is the Least Common Multiple of 29104 and 29112?

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 29104 and 29112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29104 and 29112, than apply into the LCM equation.

GCF(29104,29112) = 8
LCM(29104,29112) = ( 29104 × 29112) / 8
LCM(29104,29112) = 847275648 / 8
LCM(29104,29112) = 105909456

Least Common Multiple (LCM) of 29104 and 29112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29104 and 29112. First we will calculate the prime factors of 29104 and 29112.

Prime Factorization of 29104

Prime Factorization of 29112

Now multiplying the highest exponent prime factors to calculate the LCM of 29104 and 29112.

LCM(29104,29112) = 2⁴ × 17¹ × 107¹ × 3¹ × 1213¹
LCM(29104,29112) = 105909456