What is the Least Common Multiple of 27830 and 27834?

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 27830 and 27834 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27830 and 27834, than apply into the LCM equation.

GCF(27830,27834) = 2
LCM(27830,27834) = ( 27830 × 27834) / 2
LCM(27830,27834) = 774620220 / 2
LCM(27830,27834) = 387310110

Least Common Multiple (LCM) of 27830 and 27834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27830 and 27834. First we will calculate the prime factors of 27830 and 27834.

Prime Factorization of 27830

Prime Factorization of 27834

Now multiplying the highest exponent prime factors to calculate the LCM of 27830 and 27834.

LCM(27830,27834) = 2¹ × 5¹ × 11² × 23¹ × 3¹ × 4639¹
LCM(27830,27834) = 387310110