What is the Least Common Multiple of 83804 and 83823?

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 83804 and 83823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83804 and 83823, than apply into the LCM equation.

GCF(83804,83823) = 1
LCM(83804,83823) = ( 83804 × 83823) / 1
LCM(83804,83823) = 7024702692 / 1
LCM(83804,83823) = 7024702692

Least Common Multiple (LCM) of 83804 and 83823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83804 and 83823. First we will calculate the prime factors of 83804 and 83823.

Prime Factorization of 83804

Prime Factorization of 83823

Now multiplying the highest exponent prime factors to calculate the LCM of 83804 and 83823.

LCM(83804,83823) = 2² × 7¹ × 41¹ × 73¹ × 3¹ × 27941¹
LCM(83804,83823) = 7024702692