What is the Least Common Multiple of 29961 and 29969?

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 29961 and 29969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29961 and 29969, than apply into the LCM equation.

GCF(29961,29969) = 1
LCM(29961,29969) = ( 29961 × 29969) / 1
LCM(29961,29969) = 897901209 / 1
LCM(29961,29969) = 897901209

Least Common Multiple (LCM) of 29961 and 29969 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29961 and 29969. First we will calculate the prime factors of 29961 and 29969.

Prime Factorization of 29961

Prime Factorization of 29969

Now multiplying the highest exponent prime factors to calculate the LCM of 29961 and 29969.

LCM(29961,29969) = 3² × 3329¹ × 23¹ × 1303¹
LCM(29961,29969) = 897901209