What is the Least Common Multiple of 65752 and 65766?

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 65752 and 65766 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65752 and 65766, than apply into the LCM equation.

GCF(65752,65766) = 2
LCM(65752,65766) = ( 65752 × 65766) / 2
LCM(65752,65766) = 4324246032 / 2
LCM(65752,65766) = 2162123016

Least Common Multiple (LCM) of 65752 and 65766 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65752 and 65766. First we will calculate the prime factors of 65752 and 65766.

Prime Factorization of 65752

Prime Factorization of 65766

Now multiplying the highest exponent prime factors to calculate the LCM of 65752 and 65766.

LCM(65752,65766) = 2³ × 8219¹ × 3¹ × 97¹ × 113¹
LCM(65752,65766) = 2162123016