What is the Least Common Multiple of 84815 and 84820?

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 84815 and 84820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84815 and 84820, than apply into the LCM equation.

GCF(84815,84820) = 5
LCM(84815,84820) = ( 84815 × 84820) / 5
LCM(84815,84820) = 7194008300 / 5
LCM(84815,84820) = 1438801660

Least Common Multiple (LCM) of 84815 and 84820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84815 and 84820. First we will calculate the prime factors of 84815 and 84820.

Prime Factorization of 84815

Prime Factorization of 84820

Now multiplying the highest exponent prime factors to calculate the LCM of 84815 and 84820.

LCM(84815,84820) = 5¹ × 16963¹ × 2² × 4241¹
LCM(84815,84820) = 1438801660