What is the Least Common Multiple of 88456 and 88474?

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 88456 and 88474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88456 and 88474, than apply into the LCM equation.

GCF(88456,88474) = 2
LCM(88456,88474) = ( 88456 × 88474) / 2
LCM(88456,88474) = 7826056144 / 2
LCM(88456,88474) = 3913028072

Least Common Multiple (LCM) of 88456 and 88474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88456 and 88474. First we will calculate the prime factors of 88456 and 88474.

Prime Factorization of 88456

Prime Factorization of 88474

Now multiplying the highest exponent prime factors to calculate the LCM of 88456 and 88474.

LCM(88456,88474) = 2³ × 11057¹ × 31¹ × 1427¹
LCM(88456,88474) = 3913028072