What is the Least Common Multiple of 88536 and 88542?

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 88536 and 88542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88536 and 88542, than apply into the LCM equation.

GCF(88536,88542) = 6
LCM(88536,88542) = ( 88536 × 88542) / 6
LCM(88536,88542) = 7839154512 / 6
LCM(88536,88542) = 1306525752

Least Common Multiple (LCM) of 88536 and 88542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88536 and 88542. First we will calculate the prime factors of 88536 and 88542.

Prime Factorization of 88536

Prime Factorization of 88542

Now multiplying the highest exponent prime factors to calculate the LCM of 88536 and 88542.

LCM(88536,88542) = 2³ × 3² × 7¹ × 17¹ × 31¹ × 4919¹
LCM(88536,88542) = 1306525752