What is the Least Common Multiple of 29880 and 29895?

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 29895 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 29895, than apply into the LCM equation.

GCF(29880,29895) = 15
LCM(29880,29895) = ( 29880 × 29895) / 15
LCM(29880,29895) = 893262600 / 15
LCM(29880,29895) = 59550840

Least Common Multiple (LCM) of 29880 and 29895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29880 and 29895. First we will calculate the prime factors of 29880 and 29895.

Prime Factorization of 29880

Prime Factorization of 29895

Now multiplying the highest exponent prime factors to calculate the LCM of 29880 and 29895.

LCM(29880,29895) = 2³ × 3² × 5¹ × 83¹ × 1993¹
LCM(29880,29895) = 59550840