What is the Least Common Multiple of 86684 and 86704?

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 86684 and 86704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86684 and 86704, than apply into the LCM equation.

GCF(86684,86704) = 4
LCM(86684,86704) = ( 86684 × 86704) / 4
LCM(86684,86704) = 7515849536 / 4
LCM(86684,86704) = 1878962384

Least Common Multiple (LCM) of 86684 and 86704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86684 and 86704. First we will calculate the prime factors of 86684 and 86704.

Prime Factorization of 86684

Prime Factorization of 86704

Now multiplying the highest exponent prime factors to calculate the LCM of 86684 and 86704.

LCM(86684,86704) = 2⁴ × 13¹ × 1667¹ × 5419¹
LCM(86684,86704) = 1878962384