What is the Least Common Multiple of 87678 and 87698?

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 87698 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 87698, than apply into the LCM equation.

GCF(87678,87698) = 2
LCM(87678,87698) = ( 87678 × 87698) / 2
LCM(87678,87698) = 7689185244 / 2
LCM(87678,87698) = 3844592622

Least Common Multiple (LCM) of 87678 and 87698 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87678 and 87698. First we will calculate the prime factors of 87678 and 87698.

Prime Factorization of 87678

Prime Factorization of 87698

Now multiplying the highest exponent prime factors to calculate the LCM of 87678 and 87698.

LCM(87678,87698) = 2¹ × 3² × 4871¹ × 13¹ × 3373¹
LCM(87678,87698) = 3844592622