What is the Least Common Multiple of 29540 and 29555?

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 29555 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 29555, than apply into the LCM equation.

GCF(29540,29555) = 5
LCM(29540,29555) = ( 29540 × 29555) / 5
LCM(29540,29555) = 873054700 / 5
LCM(29540,29555) = 174610940

Least Common Multiple (LCM) of 29540 and 29555 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29540 and 29555. First we will calculate the prime factors of 29540 and 29555.

Prime Factorization of 29540

Prime Factorization of 29555

Now multiplying the highest exponent prime factors to calculate the LCM of 29540 and 29555.

LCM(29540,29555) = 2² × 5¹ × 7¹ × 211¹ × 23¹ × 257¹
LCM(29540,29555) = 174610940