What is the Least Common Multiple of 29949 and 29961?

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 29949 and 29961 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29949 and 29961, than apply into the LCM equation.

GCF(29949,29961) = 3
LCM(29949,29961) = ( 29949 × 29961) / 3
LCM(29949,29961) = 897301989 / 3
LCM(29949,29961) = 299100663

Least Common Multiple (LCM) of 29949 and 29961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29949 and 29961. First we will calculate the prime factors of 29949 and 29961.

Prime Factorization of 29949

Prime Factorization of 29961

Now multiplying the highest exponent prime factors to calculate the LCM of 29949 and 29961.

LCM(29949,29961) = 3² × 67¹ × 149¹ × 3329¹
LCM(29949,29961) = 299100663