What is the Least Common Multiple of 86552 and 86572?

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 86552 and 86572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86552 and 86572, than apply into the LCM equation.

GCF(86552,86572) = 4
LCM(86552,86572) = ( 86552 × 86572) / 4
LCM(86552,86572) = 7492979744 / 4
LCM(86552,86572) = 1873244936

Least Common Multiple (LCM) of 86552 and 86572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86552 and 86572. First we will calculate the prime factors of 86552 and 86572.

Prime Factorization of 86552

Prime Factorization of 86572

Now multiplying the highest exponent prime factors to calculate the LCM of 86552 and 86572.

LCM(86552,86572) = 2³ × 31¹ × 349¹ × 23¹ × 941¹
LCM(86552,86572) = 1873244936