What is the Least Common Multiple of 89314 and 89333?

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 89314 and 89333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89314 and 89333, than apply into the LCM equation.

GCF(89314,89333) = 1
LCM(89314,89333) = ( 89314 × 89333) / 1
LCM(89314,89333) = 7978687562 / 1
LCM(89314,89333) = 7978687562

Least Common Multiple (LCM) of 89314 and 89333 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89314 and 89333. First we will calculate the prime factors of 89314 and 89333.

Prime Factorization of 89314

Prime Factorization of 89333

Now multiplying the highest exponent prime factors to calculate the LCM of 89314 and 89333.

LCM(89314,89333) = 2¹ × 44657¹ × 157¹ × 569¹
LCM(89314,89333) = 7978687562