What is the Least Common Multiple of 65123 and 65142?

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 65123 and 65142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65123 and 65142, than apply into the LCM equation.

GCF(65123,65142) = 1
LCM(65123,65142) = ( 65123 × 65142) / 1
LCM(65123,65142) = 4242242466 / 1
LCM(65123,65142) = 4242242466

Least Common Multiple (LCM) of 65123 and 65142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65123 and 65142. First we will calculate the prime factors of 65123 and 65142.

Prime Factorization of 65123

Prime Factorization of 65142

Now multiplying the highest exponent prime factors to calculate the LCM of 65123 and 65142.

LCM(65123,65142) = 65123¹ × 2¹ × 3² × 7¹ × 11¹ × 47¹
LCM(65123,65142) = 4242242466