What is the Least Common Multiple of 89309 and 89313?

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 89309 and 89313 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89309 and 89313, than apply into the LCM equation.

GCF(89309,89313) = 1
LCM(89309,89313) = ( 89309 × 89313) / 1
LCM(89309,89313) = 7976454717 / 1
LCM(89309,89313) = 7976454717

Least Common Multiple (LCM) of 89309 and 89313 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89309 and 89313. First we will calculate the prime factors of 89309 and 89313.

Prime Factorization of 89309

Prime Factorization of 89313

Now multiplying the highest exponent prime factors to calculate the LCM of 89309 and 89313.

LCM(89309,89313) = 11¹ × 23¹ × 353¹ × 3¹ × 7¹ × 4253¹
LCM(89309,89313) = 7976454717