What is the Least Common Multiple of 87830 and 87837?

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 87830 and 87837 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87830 and 87837, than apply into the LCM equation.

GCF(87830,87837) = 1
LCM(87830,87837) = ( 87830 × 87837) / 1
LCM(87830,87837) = 7714723710 / 1
LCM(87830,87837) = 7714723710

Least Common Multiple (LCM) of 87830 and 87837 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87830 and 87837. First we will calculate the prime factors of 87830 and 87837.

Prime Factorization of 87830

Prime Factorization of 87837

Now multiplying the highest exponent prime factors to calculate the LCM of 87830 and 87837.

LCM(87830,87837) = 2¹ × 5¹ × 8783¹ × 3¹ × 19¹ × 23¹ × 67¹
LCM(87830,87837) = 7714723710