What is the Least Common Multiple of 74814 and 74834?

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 74814 and 74834 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74814 and 74834, than apply into the LCM equation.

GCF(74814,74834) = 2
LCM(74814,74834) = ( 74814 × 74834) / 2
LCM(74814,74834) = 5598630876 / 2
LCM(74814,74834) = 2799315438

Least Common Multiple (LCM) of 74814 and 74834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74814 and 74834. First we will calculate the prime factors of 74814 and 74834.

Prime Factorization of 74814

Prime Factorization of 74834

Now multiplying the highest exponent prime factors to calculate the LCM of 74814 and 74834.

LCM(74814,74834) = 2¹ × 3¹ × 37¹ × 337¹ × 17¹ × 31¹ × 71¹
LCM(74814,74834) = 2799315438