What is the Least Common Multiple of 23049 and 23067?

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 23049 and 23067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23049 and 23067, than apply into the LCM equation.

GCF(23049,23067) = 9
LCM(23049,23067) = ( 23049 × 23067) / 9
LCM(23049,23067) = 531671283 / 9
LCM(23049,23067) = 59074587

Least Common Multiple (LCM) of 23049 and 23067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23049 and 23067. First we will calculate the prime factors of 23049 and 23067.

Prime Factorization of 23049

Prime Factorization of 23067

Now multiplying the highest exponent prime factors to calculate the LCM of 23049 and 23067.

LCM(23049,23067) = 3² × 13¹ × 197¹ × 11¹ × 233¹
LCM(23049,23067) = 59074587