What is the Least Common Multiple of 29937 and 29955?

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 29937 and 29955 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29937 and 29955, than apply into the LCM equation.

GCF(29937,29955) = 3
LCM(29937,29955) = ( 29937 × 29955) / 3
LCM(29937,29955) = 896762835 / 3
LCM(29937,29955) = 298920945

Least Common Multiple (LCM) of 29937 and 29955 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29937 and 29955. First we will calculate the prime factors of 29937 and 29955.

Prime Factorization of 29937

Prime Factorization of 29955

Now multiplying the highest exponent prime factors to calculate the LCM of 29937 and 29955.

LCM(29937,29955) = 3¹ × 17¹ × 587¹ × 5¹ × 1997¹
LCM(29937,29955) = 298920945