What is the Least Common Multiple of 87678 and 87682?

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 87678 and 87682 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87678 and 87682, than apply into the LCM equation.

GCF(87678,87682) = 2
LCM(87678,87682) = ( 87678 × 87682) / 2
LCM(87678,87682) = 7687782396 / 2
LCM(87678,87682) = 3843891198

Least Common Multiple (LCM) of 87678 and 87682 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87678 and 87682. First we will calculate the prime factors of 87678 and 87682.

Prime Factorization of 87678

Prime Factorization of 87682

Now multiplying the highest exponent prime factors to calculate the LCM of 87678 and 87682.

LCM(87678,87682) = 2¹ × 3² × 4871¹ × 7¹ × 6263¹
LCM(87678,87682) = 3843891198