What is the Least Common Multiple of 29980 and 29999?

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 29980 and 29999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29980 and 29999, than apply into the LCM equation.

GCF(29980,29999) = 1
LCM(29980,29999) = ( 29980 × 29999) / 1
LCM(29980,29999) = 899370020 / 1
LCM(29980,29999) = 899370020

Least Common Multiple (LCM) of 29980 and 29999 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29980 and 29999. First we will calculate the prime factors of 29980 and 29999.

Prime Factorization of 29980

Prime Factorization of 29999

Now multiplying the highest exponent prime factors to calculate the LCM of 29980 and 29999.

LCM(29980,29999) = 2² × 5¹ × 1499¹ × 131¹ × 229¹
LCM(29980,29999) = 899370020