What is the Least Common Multiple of 29608 and 29628?

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 29608 and 29628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29608 and 29628, than apply into the LCM equation.

GCF(29608,29628) = 4
LCM(29608,29628) = ( 29608 × 29628) / 4
LCM(29608,29628) = 877225824 / 4
LCM(29608,29628) = 219306456

Least Common Multiple (LCM) of 29608 and 29628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29608 and 29628. First we will calculate the prime factors of 29608 and 29628.

Prime Factorization of 29608

Prime Factorization of 29628

Now multiplying the highest exponent prime factors to calculate the LCM of 29608 and 29628.

LCM(29608,29628) = 2³ × 3701¹ × 3² × 823¹
LCM(29608,29628) = 219306456