What is the Least Common Multiple of 29955 and 29973?

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 29955 and 29973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29955 and 29973, than apply into the LCM equation.

GCF(29955,29973) = 3
LCM(29955,29973) = ( 29955 × 29973) / 3
LCM(29955,29973) = 897841215 / 3
LCM(29955,29973) = 299280405

Least Common Multiple (LCM) of 29955 and 29973 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29955 and 29973. First we will calculate the prime factors of 29955 and 29973.

Prime Factorization of 29955

Prime Factorization of 29973

Now multiplying the highest exponent prime factors to calculate the LCM of 29955 and 29973.

LCM(29955,29973) = 3¹ × 5¹ × 1997¹ × 97¹ × 103¹
LCM(29955,29973) = 299280405