What is the Least Common Multiple of 65772 and 65786?

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 65772 and 65786 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65772 and 65786, than apply into the LCM equation.

GCF(65772,65786) = 14
LCM(65772,65786) = ( 65772 × 65786) / 14
LCM(65772,65786) = 4326876792 / 14
LCM(65772,65786) = 309062628

Least Common Multiple (LCM) of 65772 and 65786 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65772 and 65786. First we will calculate the prime factors of 65772 and 65786.

Prime Factorization of 65772

Prime Factorization of 65786

Now multiplying the highest exponent prime factors to calculate the LCM of 65772 and 65786.

LCM(65772,65786) = 2² × 3⁴ × 7¹ × 29¹ × 37¹ × 127¹
LCM(65772,65786) = 309062628