What is the Least Common Multiple of 88224 and 88236?

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 88224 and 88236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88224 and 88236, than apply into the LCM equation.

GCF(88224,88236) = 12
LCM(88224,88236) = ( 88224 × 88236) / 12
LCM(88224,88236) = 7784532864 / 12
LCM(88224,88236) = 648711072

Least Common Multiple (LCM) of 88224 and 88236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88224 and 88236. First we will calculate the prime factors of 88224 and 88236.

Prime Factorization of 88224

Prime Factorization of 88236

Now multiplying the highest exponent prime factors to calculate the LCM of 88224 and 88236.

LCM(88224,88236) = 2⁵ × 3³ × 919¹ × 19¹ × 43¹
LCM(88224,88236) = 648711072