What is the Least Common Multiple of 29688 and 29696?

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 29688 and 29696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29688 and 29696, than apply into the LCM equation.

GCF(29688,29696) = 8
LCM(29688,29696) = ( 29688 × 29696) / 8
LCM(29688,29696) = 881614848 / 8
LCM(29688,29696) = 110201856

Least Common Multiple (LCM) of 29688 and 29696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29688 and 29696. First we will calculate the prime factors of 29688 and 29696.

Prime Factorization of 29688

Prime Factorization of 29696

Now multiplying the highest exponent prime factors to calculate the LCM of 29688 and 29696.

LCM(29688,29696) = 2¹⁰ × 3¹ × 1237¹ × 29¹
LCM(29688,29696) = 110201856