What is the Least Common Multiple of 65766 and 65779?

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 65766 and 65779 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65766 and 65779, than apply into the LCM equation.

GCF(65766,65779) = 1
LCM(65766,65779) = ( 65766 × 65779) / 1
LCM(65766,65779) = 4326021714 / 1
LCM(65766,65779) = 4326021714

Least Common Multiple (LCM) of 65766 and 65779 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65766 and 65779. First we will calculate the prime factors of 65766 and 65779.

Prime Factorization of 65766

Prime Factorization of 65779

Now multiplying the highest exponent prime factors to calculate the LCM of 65766 and 65779.

LCM(65766,65779) = 2¹ × 3¹ × 97¹ × 113¹ × 7¹ × 9397¹
LCM(65766,65779) = 4326021714