What is the Least Common Multiple of 23285 and 23292?

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 23285 and 23292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23285 and 23292, than apply into the LCM equation.

GCF(23285,23292) = 1
LCM(23285,23292) = ( 23285 × 23292) / 1
LCM(23285,23292) = 542354220 / 1
LCM(23285,23292) = 542354220

Least Common Multiple (LCM) of 23285 and 23292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23285 and 23292. First we will calculate the prime factors of 23285 and 23292.

Prime Factorization of 23285

Prime Factorization of 23292

Now multiplying the highest exponent prime factors to calculate the LCM of 23285 and 23292.

LCM(23285,23292) = 5¹ × 4657¹ × 2² × 3² × 647¹
LCM(23285,23292) = 542354220