What is the Least Common Multiple of 48310 and 48326?

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 48310 and 48326 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48310 and 48326, than apply into the LCM equation.

GCF(48310,48326) = 2
LCM(48310,48326) = ( 48310 × 48326) / 2
LCM(48310,48326) = 2334629060 / 2
LCM(48310,48326) = 1167314530

Least Common Multiple (LCM) of 48310 and 48326 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48310 and 48326. First we will calculate the prime factors of 48310 and 48326.

Prime Factorization of 48310

Prime Factorization of 48326

Now multiplying the highest exponent prime factors to calculate the LCM of 48310 and 48326.

LCM(48310,48326) = 2¹ × 5¹ × 4831¹ × 73¹ × 331¹
LCM(48310,48326) = 1167314530