What is the Least Common Multiple of 29046 and 29056?

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 29046 and 29056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29046 and 29056, than apply into the LCM equation.

GCF(29046,29056) = 2
LCM(29046,29056) = ( 29046 × 29056) / 2
LCM(29046,29056) = 843960576 / 2
LCM(29046,29056) = 421980288

Least Common Multiple (LCM) of 29046 and 29056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29046 and 29056. First we will calculate the prime factors of 29046 and 29056.

Prime Factorization of 29046

Prime Factorization of 29056

Now multiplying the highest exponent prime factors to calculate the LCM of 29046 and 29056.

LCM(29046,29056) = 2⁷ × 3¹ × 47¹ × 103¹ × 227¹
LCM(29046,29056) = 421980288