What is the Least Common Multiple of 34791 and 34799?

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 34791 and 34799 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34791 and 34799, than apply into the LCM equation.

GCF(34791,34799) = 1
LCM(34791,34799) = ( 34791 × 34799) / 1
LCM(34791,34799) = 1210692009 / 1
LCM(34791,34799) = 1210692009

Least Common Multiple (LCM) of 34791 and 34799 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34791 and 34799. First we will calculate the prime factors of 34791 and 34799.

Prime Factorization of 34791

Prime Factorization of 34799

Now multiplying the highest exponent prime factors to calculate the LCM of 34791 and 34799.

LCM(34791,34799) = 3¹ × 11597¹ × 17¹ × 23¹ × 89¹
LCM(34791,34799) = 1210692009