What is the Least Common Multiple of 53174 and 53185?

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 53174 and 53185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53174 and 53185, than apply into the LCM equation.

GCF(53174,53185) = 11
LCM(53174,53185) = ( 53174 × 53185) / 11
LCM(53174,53185) = 2828059190 / 11
LCM(53174,53185) = 257096290

Least Common Multiple (LCM) of 53174 and 53185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53174 and 53185. First we will calculate the prime factors of 53174 and 53185.

Prime Factorization of 53174

Prime Factorization of 53185

Now multiplying the highest exponent prime factors to calculate the LCM of 53174 and 53185.

LCM(53174,53185) = 2¹ × 11¹ × 2417¹ × 5¹ × 967¹
LCM(53174,53185) = 257096290