What is the Least Common Multiple of 5820 and 5834?

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 5820 and 5834 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5820 and 5834, than apply into the LCM equation.

GCF(5820,5834) = 2
LCM(5820,5834) = ( 5820 × 5834) / 2
LCM(5820,5834) = 33953880 / 2
LCM(5820,5834) = 16976940

Least Common Multiple (LCM) of 5820 and 5834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5820 and 5834. First we will calculate the prime factors of 5820 and 5834.

Prime Factorization of 5820

Prime Factorization of 5834

Now multiplying the highest exponent prime factors to calculate the LCM of 5820 and 5834.

LCM(5820,5834) = 2² × 3¹ × 5¹ × 97¹ × 2917¹
LCM(5820,5834) = 16976940