What is the Least Common Multiple of 34736 and 34742?

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 34736 and 34742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34736 and 34742, than apply into the LCM equation.

GCF(34736,34742) = 2
LCM(34736,34742) = ( 34736 × 34742) / 2
LCM(34736,34742) = 1206798112 / 2
LCM(34736,34742) = 603399056

Least Common Multiple (LCM) of 34736 and 34742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34736 and 34742. First we will calculate the prime factors of 34736 and 34742.

Prime Factorization of 34736

Prime Factorization of 34742

Now multiplying the highest exponent prime factors to calculate the LCM of 34736 and 34742.

LCM(34736,34742) = 2⁴ × 13¹ × 167¹ × 29¹ × 599¹
LCM(34736,34742) = 603399056