What is the Least Common Multiple of 68775 and 68791?

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 68775 and 68791 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68775 and 68791, than apply into the LCM equation.

GCF(68775,68791) = 1
LCM(68775,68791) = ( 68775 × 68791) / 1
LCM(68775,68791) = 4731101025 / 1
LCM(68775,68791) = 4731101025

Least Common Multiple (LCM) of 68775 and 68791 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68775 and 68791. First we will calculate the prime factors of 68775 and 68791.

Prime Factorization of 68775

Prime Factorization of 68791

Now multiplying the highest exponent prime factors to calculate the LCM of 68775 and 68791.

LCM(68775,68791) = 3¹ × 5² × 7¹ × 131¹ × 68791¹
LCM(68775,68791) = 4731101025