What is the Least Common Multiple of 29840 and 29855?

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 29840 and 29855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29840 and 29855, than apply into the LCM equation.

GCF(29840,29855) = 5
LCM(29840,29855) = ( 29840 × 29855) / 5
LCM(29840,29855) = 890873200 / 5
LCM(29840,29855) = 178174640

Least Common Multiple (LCM) of 29840 and 29855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29840 and 29855. First we will calculate the prime factors of 29840 and 29855.

Prime Factorization of 29840

Prime Factorization of 29855

Now multiplying the highest exponent prime factors to calculate the LCM of 29840 and 29855.

LCM(29840,29855) = 2⁴ × 5¹ × 373¹ × 7¹ × 853¹
LCM(29840,29855) = 178174640