What is the Least Common Multiple of 88836 and 88848?

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 88836 and 88848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88836 and 88848, than apply into the LCM equation.

GCF(88836,88848) = 12
LCM(88836,88848) = ( 88836 × 88848) / 12
LCM(88836,88848) = 7892900928 / 12
LCM(88836,88848) = 657741744

Least Common Multiple (LCM) of 88836 and 88848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88836 and 88848. First we will calculate the prime factors of 88836 and 88848.

Prime Factorization of 88836

Prime Factorization of 88848

Now multiplying the highest exponent prime factors to calculate the LCM of 88836 and 88848.

LCM(88836,88848) = 2⁴ × 3² × 11¹ × 673¹ × 617¹
LCM(88836,88848) = 657741744