What is the Least Common Multiple of 29906 and 29926?

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 29906 and 29926 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29906 and 29926, than apply into the LCM equation.

GCF(29906,29926) = 2
LCM(29906,29926) = ( 29906 × 29926) / 2
LCM(29906,29926) = 894966956 / 2
LCM(29906,29926) = 447483478

Least Common Multiple (LCM) of 29906 and 29926 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29906 and 29926. First we will calculate the prime factors of 29906 and 29926.

Prime Factorization of 29906

Prime Factorization of 29926

Now multiplying the highest exponent prime factors to calculate the LCM of 29906 and 29926.

LCM(29906,29926) = 2¹ × 19¹ × 787¹ × 13¹ × 1151¹
LCM(29906,29926) = 447483478