What is the Least Common Multiple of 87821 and 87835?

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 87821 and 87835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87821 and 87835, than apply into the LCM equation.

GCF(87821,87835) = 1
LCM(87821,87835) = ( 87821 × 87835) / 1
LCM(87821,87835) = 7713757535 / 1
LCM(87821,87835) = 7713757535

Least Common Multiple (LCM) of 87821 and 87835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87821 and 87835. First we will calculate the prime factors of 87821 and 87835.

Prime Factorization of 87821

Prime Factorization of 87835

Now multiplying the highest exponent prime factors to calculate the LCM of 87821 and 87835.

LCM(87821,87835) = 53¹ × 1657¹ × 5¹ × 11¹ × 1597¹
LCM(87821,87835) = 7713757535