What is the Least Common Multiple of 89218 and 89235?

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 89218 and 89235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89218 and 89235, than apply into the LCM equation.

GCF(89218,89235) = 1
LCM(89218,89235) = ( 89218 × 89235) / 1
LCM(89218,89235) = 7961368230 / 1
LCM(89218,89235) = 7961368230

Least Common Multiple (LCM) of 89218 and 89235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89218 and 89235. First we will calculate the prime factors of 89218 and 89235.

Prime Factorization of 89218

Prime Factorization of 89235

Now multiplying the highest exponent prime factors to calculate the LCM of 89218 and 89235.

LCM(89218,89235) = 2¹ × 31¹ × 1439¹ × 3³ × 5¹ × 661¹
LCM(89218,89235) = 7961368230