What is the Least Common Multiple of 49287 and 49302?

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 49287 and 49302 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49287 and 49302, than apply into the LCM equation.

GCF(49287,49302) = 3
LCM(49287,49302) = ( 49287 × 49302) / 3
LCM(49287,49302) = 2429947674 / 3
LCM(49287,49302) = 809982558

Least Common Multiple (LCM) of 49287 and 49302 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49287 and 49302. First we will calculate the prime factors of 49287 and 49302.

Prime Factorization of 49287

Prime Factorization of 49302

Now multiplying the highest exponent prime factors to calculate the LCM of 49287 and 49302.

LCM(49287,49302) = 3³ × 7¹ × 2347¹ × 2¹ × 11¹ × 83¹
LCM(49287,49302) = 809982558