What is the Least Common Multiple of 34971 and 34991?

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 34971 and 34991 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34971 and 34991, than apply into the LCM equation.

GCF(34971,34991) = 1
LCM(34971,34991) = ( 34971 × 34991) / 1
LCM(34971,34991) = 1223670261 / 1
LCM(34971,34991) = 1223670261

Least Common Multiple (LCM) of 34971 and 34991 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34971 and 34991. First we will calculate the prime factors of 34971 and 34991.

Prime Factorization of 34971

Prime Factorization of 34991

Now multiplying the highest exponent prime factors to calculate the LCM of 34971 and 34991.

LCM(34971,34991) = 3¹ × 11657¹ × 11¹ × 3181¹
LCM(34971,34991) = 1223670261