What is the Least Common Multiple of 84805 and 84821?

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 84805 and 84821 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84805 and 84821, than apply into the LCM equation.

GCF(84805,84821) = 1
LCM(84805,84821) = ( 84805 × 84821) / 1
LCM(84805,84821) = 7193244905 / 1
LCM(84805,84821) = 7193244905

Least Common Multiple (LCM) of 84805 and 84821 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84805 and 84821. First we will calculate the prime factors of 84805 and 84821.

Prime Factorization of 84805

Prime Factorization of 84821

Now multiplying the highest exponent prime factors to calculate the LCM of 84805 and 84821.

LCM(84805,84821) = 5¹ × 7¹ × 2423¹ × 11² × 701¹
LCM(84805,84821) = 7193244905