What is the Least Common Multiple of 29600 and 29614?

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 29600 and 29614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29600 and 29614, than apply into the LCM equation.

GCF(29600,29614) = 2
LCM(29600,29614) = ( 29600 × 29614) / 2
LCM(29600,29614) = 876574400 / 2
LCM(29600,29614) = 438287200

Least Common Multiple (LCM) of 29600 and 29614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29600 and 29614. First we will calculate the prime factors of 29600 and 29614.

Prime Factorization of 29600

Prime Factorization of 29614

Now multiplying the highest exponent prime factors to calculate the LCM of 29600 and 29614.

LCM(29600,29614) = 2⁵ × 5² × 37¹ × 13¹ × 17¹ × 67¹
LCM(29600,29614) = 438287200