What is the Least Common Multiple of 87805 and 87821?

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 87805 and 87821 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87805 and 87821, than apply into the LCM equation.

GCF(87805,87821) = 1
LCM(87805,87821) = ( 87805 × 87821) / 1
LCM(87805,87821) = 7711122905 / 1
LCM(87805,87821) = 7711122905

Least Common Multiple (LCM) of 87805 and 87821 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87805 and 87821. First we will calculate the prime factors of 87805 and 87821.

Prime Factorization of 87805

Prime Factorization of 87821

Now multiplying the highest exponent prime factors to calculate the LCM of 87805 and 87821.

LCM(87805,87821) = 5¹ × 17¹ × 1033¹ × 53¹ × 1657¹
LCM(87805,87821) = 7711122905