What is the Least Common Multiple of 29880 and 29900?

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 29880 and 29900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29880 and 29900, than apply into the LCM equation.

GCF(29880,29900) = 20
LCM(29880,29900) = ( 29880 × 29900) / 20
LCM(29880,29900) = 893412000 / 20
LCM(29880,29900) = 44670600

Least Common Multiple (LCM) of 29880 and 29900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29880 and 29900. First we will calculate the prime factors of 29880 and 29900.

Prime Factorization of 29880

Prime Factorization of 29900

Now multiplying the highest exponent prime factors to calculate the LCM of 29880 and 29900.

LCM(29880,29900) = 2³ × 3² × 5² × 83¹ × 13¹ × 23¹
LCM(29880,29900) = 44670600