What is the Least Common Multiple of 15285 and 15292?

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 15285 and 15292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15285 and 15292, than apply into the LCM equation.

GCF(15285,15292) = 1
LCM(15285,15292) = ( 15285 × 15292) / 1
LCM(15285,15292) = 233738220 / 1
LCM(15285,15292) = 233738220

Least Common Multiple (LCM) of 15285 and 15292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15285 and 15292. First we will calculate the prime factors of 15285 and 15292.

Prime Factorization of 15285

Prime Factorization of 15292

Now multiplying the highest exponent prime factors to calculate the LCM of 15285 and 15292.

LCM(15285,15292) = 3¹ × 5¹ × 1019¹ × 2² × 3823¹
LCM(15285,15292) = 233738220