What is the Least Common Multiple of 29838 and 29854?

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 29838 and 29854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29838 and 29854, than apply into the LCM equation.

GCF(29838,29854) = 2
LCM(29838,29854) = ( 29838 × 29854) / 2
LCM(29838,29854) = 890783652 / 2
LCM(29838,29854) = 445391826

Least Common Multiple (LCM) of 29838 and 29854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29838 and 29854. First we will calculate the prime factors of 29838 and 29854.

Prime Factorization of 29838

Prime Factorization of 29854

Now multiplying the highest exponent prime factors to calculate the LCM of 29838 and 29854.

LCM(29838,29854) = 2¹ × 3¹ × 4973¹ × 11¹ × 23¹ × 59¹
LCM(29838,29854) = 445391826