What is the Least Common Multiple of 29540 and 29556?

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 29540 and 29556 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29540 and 29556, than apply into the LCM equation.

GCF(29540,29556) = 4
LCM(29540,29556) = ( 29540 × 29556) / 4
LCM(29540,29556) = 873084240 / 4
LCM(29540,29556) = 218271060

Least Common Multiple (LCM) of 29540 and 29556 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29540 and 29556. First we will calculate the prime factors of 29540 and 29556.

Prime Factorization of 29540

Prime Factorization of 29556

Now multiplying the highest exponent prime factors to calculate the LCM of 29540 and 29556.

LCM(29540,29556) = 2² × 5¹ × 7¹ × 211¹ × 3² × 821¹
LCM(29540,29556) = 218271060