What is the Least Common Multiple of 88544 and 88550?

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 88544 and 88550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88544 and 88550, than apply into the LCM equation.

GCF(88544,88550) = 2
LCM(88544,88550) = ( 88544 × 88550) / 2
LCM(88544,88550) = 7840571200 / 2
LCM(88544,88550) = 3920285600

Least Common Multiple (LCM) of 88544 and 88550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88544 and 88550. First we will calculate the prime factors of 88544 and 88550.

Prime Factorization of 88544

Prime Factorization of 88550

Now multiplying the highest exponent prime factors to calculate the LCM of 88544 and 88550.

LCM(88544,88550) = 2⁵ × 2767¹ × 5² × 7¹ × 11¹ × 23¹
LCM(88544,88550) = 3920285600