What is the Least Common Multiple of 86728 and 86747?

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 86728 and 86747 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86728 and 86747, than apply into the LCM equation.

GCF(86728,86747) = 1
LCM(86728,86747) = ( 86728 × 86747) / 1
LCM(86728,86747) = 7523393816 / 1
LCM(86728,86747) = 7523393816

Least Common Multiple (LCM) of 86728 and 86747 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86728 and 86747. First we will calculate the prime factors of 86728 and 86747.

Prime Factorization of 86728

Prime Factorization of 86747

Now multiplying the highest exponent prime factors to calculate the LCM of 86728 and 86747.

LCM(86728,86747) = 2³ × 37¹ × 293¹ × 223¹ × 389¹
LCM(86728,86747) = 7523393816