What is the Least Common Multiple of 86788 and 86800?

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 86788 and 86800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86788 and 86800, than apply into the LCM equation.

GCF(86788,86800) = 4
LCM(86788,86800) = ( 86788 × 86800) / 4
LCM(86788,86800) = 7533198400 / 4
LCM(86788,86800) = 1883299600

Least Common Multiple (LCM) of 86788 and 86800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86788 and 86800. First we will calculate the prime factors of 86788 and 86800.

Prime Factorization of 86788

Prime Factorization of 86800

Now multiplying the highest exponent prime factors to calculate the LCM of 86788 and 86800.

LCM(86788,86800) = 2⁴ × 13¹ × 1669¹ × 5² × 7¹ × 31¹
LCM(86788,86800) = 1883299600