What is the Least Common Multiple of 86644 and 86652?

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 86644 and 86652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86644 and 86652, than apply into the LCM equation.

GCF(86644,86652) = 4
LCM(86644,86652) = ( 86644 × 86652) / 4
LCM(86644,86652) = 7507875888 / 4
LCM(86644,86652) = 1876968972

Least Common Multiple (LCM) of 86644 and 86652 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86644 and 86652. First we will calculate the prime factors of 86644 and 86652.

Prime Factorization of 86644

Prime Factorization of 86652

Now multiplying the highest exponent prime factors to calculate the LCM of 86644 and 86652.

LCM(86644,86652) = 2² × 21661¹ × 3² × 29¹ × 83¹
LCM(86644,86652) = 1876968972