What is the Least Common Multiple of 29040 and 29054?

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 29040 and 29054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29040 and 29054, than apply into the LCM equation.

GCF(29040,29054) = 2
LCM(29040,29054) = ( 29040 × 29054) / 2
LCM(29040,29054) = 843728160 / 2
LCM(29040,29054) = 421864080

Least Common Multiple (LCM) of 29040 and 29054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29040 and 29054. First we will calculate the prime factors of 29040 and 29054.

Prime Factorization of 29040

Prime Factorization of 29054

Now multiplying the highest exponent prime factors to calculate the LCM of 29040 and 29054.

LCM(29040,29054) = 2⁴ × 3¹ × 5¹ × 11² × 73¹ × 199¹
LCM(29040,29054) = 421864080