What is the Least Common Multiple of 29920 and 29934?

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 29920 and 29934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29920 and 29934, than apply into the LCM equation.

GCF(29920,29934) = 2
LCM(29920,29934) = ( 29920 × 29934) / 2
LCM(29920,29934) = 895625280 / 2
LCM(29920,29934) = 447812640

Least Common Multiple (LCM) of 29920 and 29934 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29920 and 29934. First we will calculate the prime factors of 29920 and 29934.

Prime Factorization of 29920

Prime Factorization of 29934

Now multiplying the highest exponent prime factors to calculate the LCM of 29920 and 29934.

LCM(29920,29934) = 2⁵ × 5¹ × 11¹ × 17¹ × 3² × 1663¹
LCM(29920,29934) = 447812640