What is the Least Common Multiple of 66775 and 66794?

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 66775 and 66794 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66775 and 66794, than apply into the LCM equation.

GCF(66775,66794) = 1
LCM(66775,66794) = ( 66775 × 66794) / 1
LCM(66775,66794) = 4460169350 / 1
LCM(66775,66794) = 4460169350

Least Common Multiple (LCM) of 66775 and 66794 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66775 and 66794. First we will calculate the prime factors of 66775 and 66794.

Prime Factorization of 66775

Prime Factorization of 66794

Now multiplying the highest exponent prime factors to calculate the LCM of 66775 and 66794.

LCM(66775,66794) = 5² × 2671¹ × 2¹ × 7¹ × 13¹ × 367¹
LCM(66775,66794) = 4460169350