What is the Least Common Multiple of 65754 and 65768?

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 65754 and 65768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65754 and 65768, than apply into the LCM equation.

GCF(65754,65768) = 2
LCM(65754,65768) = ( 65754 × 65768) / 2
LCM(65754,65768) = 4324509072 / 2
LCM(65754,65768) = 2162254536

Least Common Multiple (LCM) of 65754 and 65768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65754 and 65768. First we will calculate the prime factors of 65754 and 65768.

Prime Factorization of 65754

Prime Factorization of 65768

Now multiplying the highest exponent prime factors to calculate the LCM of 65754 and 65768.

LCM(65754,65768) = 2³ × 3² × 13¹ × 281¹ × 8221¹
LCM(65754,65768) = 2162254536