What is the Least Common Multiple of 23045 and 23060?

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 23045 and 23060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23045 and 23060, than apply into the LCM equation.

GCF(23045,23060) = 5
LCM(23045,23060) = ( 23045 × 23060) / 5
LCM(23045,23060) = 531417700 / 5
LCM(23045,23060) = 106283540

Least Common Multiple (LCM) of 23045 and 23060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23045 and 23060. First we will calculate the prime factors of 23045 and 23060.

Prime Factorization of 23045

Prime Factorization of 23060

Now multiplying the highest exponent prime factors to calculate the LCM of 23045 and 23060.

LCM(23045,23060) = 5¹ × 11¹ × 419¹ × 2² × 1153¹
LCM(23045,23060) = 106283540