What is the Least Common Multiple of 55814 and 55834?

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 55814 and 55834 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55814 and 55834, than apply into the LCM equation.

GCF(55814,55834) = 2
LCM(55814,55834) = ( 55814 × 55834) / 2
LCM(55814,55834) = 3116318876 / 2
LCM(55814,55834) = 1558159438

Least Common Multiple (LCM) of 55814 and 55834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55814 and 55834. First we will calculate the prime factors of 55814 and 55834.

Prime Factorization of 55814

Prime Factorization of 55834

Now multiplying the highest exponent prime factors to calculate the LCM of 55814 and 55834.

LCM(55814,55834) = 2¹ × 11¹ × 43¹ × 59¹ × 27917¹
LCM(55814,55834) = 1558159438