What is the Least Common Multiple of 89217 and 89223?

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 89217 and 89223 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89217 and 89223, than apply into the LCM equation.

GCF(89217,89223) = 3
LCM(89217,89223) = ( 89217 × 89223) / 3
LCM(89217,89223) = 7960208391 / 3
LCM(89217,89223) = 2653402797

Least Common Multiple (LCM) of 89217 and 89223 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89217 and 89223. First we will calculate the prime factors of 89217 and 89223.

Prime Factorization of 89217

Prime Factorization of 89223

Now multiplying the highest exponent prime factors to calculate the LCM of 89217 and 89223.

LCM(89217,89223) = 3² × 23¹ × 431¹ × 29741¹
LCM(89217,89223) = 2653402797