What is the Least Common Multiple of 29888 and 29906?

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 29888 and 29906 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29888 and 29906, than apply into the LCM equation.

GCF(29888,29906) = 2
LCM(29888,29906) = ( 29888 × 29906) / 2
LCM(29888,29906) = 893830528 / 2
LCM(29888,29906) = 446915264

Least Common Multiple (LCM) of 29888 and 29906 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29888 and 29906. First we will calculate the prime factors of 29888 and 29906.

Prime Factorization of 29888

Prime Factorization of 29906

Now multiplying the highest exponent prime factors to calculate the LCM of 29888 and 29906.

LCM(29888,29906) = 2⁶ × 467¹ × 19¹ × 787¹
LCM(29888,29906) = 446915264