What is the Least Common Multiple of 29550 and 29568?

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 29550 and 29568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29550 and 29568, than apply into the LCM equation.

GCF(29550,29568) = 6
LCM(29550,29568) = ( 29550 × 29568) / 6
LCM(29550,29568) = 873734400 / 6
LCM(29550,29568) = 145622400

Least Common Multiple (LCM) of 29550 and 29568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29550 and 29568. First we will calculate the prime factors of 29550 and 29568.

Prime Factorization of 29550

Prime Factorization of 29568

Now multiplying the highest exponent prime factors to calculate the LCM of 29550 and 29568.

LCM(29550,29568) = 2⁷ × 3¹ × 5² × 197¹ × 7¹ × 11¹
LCM(29550,29568) = 145622400