What is the Least Common Multiple of 29976 and 29993?

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 29976 and 29993 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29976 and 29993, than apply into the LCM equation.

GCF(29976,29993) = 1
LCM(29976,29993) = ( 29976 × 29993) / 1
LCM(29976,29993) = 899070168 / 1
LCM(29976,29993) = 899070168

Least Common Multiple (LCM) of 29976 and 29993 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29976 and 29993. First we will calculate the prime factors of 29976 and 29993.

Prime Factorization of 29976

Prime Factorization of 29993

Now multiplying the highest exponent prime factors to calculate the LCM of 29976 and 29993.

LCM(29976,29993) = 2³ × 3¹ × 1249¹ × 89¹ × 337¹
LCM(29976,29993) = 899070168