What is the Least Common Multiple of 51814 and 51834?

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 51814 and 51834 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51814 and 51834, than apply into the LCM equation.

GCF(51814,51834) = 2
LCM(51814,51834) = ( 51814 × 51834) / 2
LCM(51814,51834) = 2685726876 / 2
LCM(51814,51834) = 1342863438

Least Common Multiple (LCM) of 51814 and 51834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51814 and 51834. First we will calculate the prime factors of 51814 and 51834.

Prime Factorization of 51814

Prime Factorization of 51834

Now multiplying the highest exponent prime factors to calculate the LCM of 51814 and 51834.

LCM(51814,51834) = 2¹ × 7¹ × 3701¹ × 3¹ × 53¹ × 163¹
LCM(51814,51834) = 1342863438