What is the Least Common Multiple of 89224 and 89236?

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 89224 and 89236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89224 and 89236, than apply into the LCM equation.

GCF(89224,89236) = 4
LCM(89224,89236) = ( 89224 × 89236) / 4
LCM(89224,89236) = 7961992864 / 4
LCM(89224,89236) = 1990498216

Least Common Multiple (LCM) of 89224 and 89236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89224 and 89236. First we will calculate the prime factors of 89224 and 89236.

Prime Factorization of 89224

Prime Factorization of 89236

Now multiplying the highest exponent prime factors to calculate the LCM of 89224 and 89236.

LCM(89224,89236) = 2³ × 19¹ × 587¹ × 7¹ × 3187¹
LCM(89224,89236) = 1990498216