What is the Least Common Multiple of 53230 and 53245?

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 53230 and 53245 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53230 and 53245, than apply into the LCM equation.

GCF(53230,53245) = 5
LCM(53230,53245) = ( 53230 × 53245) / 5
LCM(53230,53245) = 2834231350 / 5
LCM(53230,53245) = 566846270

Least Common Multiple (LCM) of 53230 and 53245 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53230 and 53245. First we will calculate the prime factors of 53230 and 53245.

Prime Factorization of 53230

Prime Factorization of 53245

Now multiplying the highest exponent prime factors to calculate the LCM of 53230 and 53245.

LCM(53230,53245) = 2¹ × 5¹ × 5323¹ × 23¹ × 463¹
LCM(53230,53245) = 566846270