What is the Least Common Multiple of 34785 and 34791?

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 34785 and 34791 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34785 and 34791, than apply into the LCM equation.

GCF(34785,34791) = 3
LCM(34785,34791) = ( 34785 × 34791) / 3
LCM(34785,34791) = 1210204935 / 3
LCM(34785,34791) = 403401645

Least Common Multiple (LCM) of 34785 and 34791 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34785 and 34791. First we will calculate the prime factors of 34785 and 34791.

Prime Factorization of 34785

Prime Factorization of 34791

Now multiplying the highest exponent prime factors to calculate the LCM of 34785 and 34791.

LCM(34785,34791) = 3² × 5¹ × 773¹ × 11597¹
LCM(34785,34791) = 403401645