What is the Least Common Multiple of 89339 and 89347?

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 89339 and 89347 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89339 and 89347, than apply into the LCM equation.

GCF(89339,89347) = 1
LCM(89339,89347) = ( 89339 × 89347) / 1
LCM(89339,89347) = 7982171633 / 1
LCM(89339,89347) = 7982171633

Least Common Multiple (LCM) of 89339 and 89347 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89339 and 89347. First we will calculate the prime factors of 89339 and 89347.

Prime Factorization of 89339

Prime Factorization of 89347

Now multiplying the highest exponent prime factors to calculate the LCM of 89339 and 89347.

LCM(89339,89347) = 41¹ × 2179¹ × 47¹ × 1901¹
LCM(89339,89347) = 7982171633