What is the Least Common Multiple of 88546 and 88552?

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 88546 and 88552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88546 and 88552, than apply into the LCM equation.

GCF(88546,88552) = 2
LCM(88546,88552) = ( 88546 × 88552) / 2
LCM(88546,88552) = 7840925392 / 2
LCM(88546,88552) = 3920462696

Least Common Multiple (LCM) of 88546 and 88552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88546 and 88552. First we will calculate the prime factors of 88546 and 88552.

Prime Factorization of 88546

Prime Factorization of 88552

Now multiplying the highest exponent prime factors to calculate the LCM of 88546 and 88552.

LCM(88546,88552) = 2³ × 44273¹ × 11069¹
LCM(88546,88552) = 3920462696