What is the Least Common Multiple of 34734 and 34743?

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 34734 and 34743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34734 and 34743, than apply into the LCM equation.

GCF(34734,34743) = 3
LCM(34734,34743) = ( 34734 × 34743) / 3
LCM(34734,34743) = 1206763362 / 3
LCM(34734,34743) = 402254454

Least Common Multiple (LCM) of 34734 and 34743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34734 and 34743. First we will calculate the prime factors of 34734 and 34743.

Prime Factorization of 34734

Prime Factorization of 34743

Now multiplying the highest exponent prime factors to calculate the LCM of 34734 and 34743.

LCM(34734,34743) = 2¹ × 3¹ × 7¹ × 827¹ × 37¹ × 313¹
LCM(34734,34743) = 402254454