What is the Least Common Multiple of 29895 and 29913?

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 29895 and 29913 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29895 and 29913, than apply into the LCM equation.

GCF(29895,29913) = 3
LCM(29895,29913) = ( 29895 × 29913) / 3
LCM(29895,29913) = 894249135 / 3
LCM(29895,29913) = 298083045

Least Common Multiple (LCM) of 29895 and 29913 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29895 and 29913. First we will calculate the prime factors of 29895 and 29913.

Prime Factorization of 29895

Prime Factorization of 29913

Now multiplying the highest exponent prime factors to calculate the LCM of 29895 and 29913.

LCM(29895,29913) = 3¹ × 5¹ × 1993¹ × 13² × 59¹
LCM(29895,29913) = 298083045