What is the Least Common Multiple of 29628 and 29634?

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 29628 and 29634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29628 and 29634, than apply into the LCM equation.

GCF(29628,29634) = 6
LCM(29628,29634) = ( 29628 × 29634) / 6
LCM(29628,29634) = 877996152 / 6
LCM(29628,29634) = 146332692

Least Common Multiple (LCM) of 29628 and 29634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29628 and 29634. First we will calculate the prime factors of 29628 and 29634.

Prime Factorization of 29628

Prime Factorization of 29634

Now multiplying the highest exponent prime factors to calculate the LCM of 29628 and 29634.

LCM(29628,29634) = 2² × 3² × 823¹ × 11¹ × 449¹
LCM(29628,29634) = 146332692