What is the Least Common Multiple of 89421 and 89437?

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 89421 and 89437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89421 and 89437, than apply into the LCM equation.

GCF(89421,89437) = 1
LCM(89421,89437) = ( 89421 × 89437) / 1
LCM(89421,89437) = 7997545977 / 1
LCM(89421,89437) = 7997545977

Least Common Multiple (LCM) of 89421 and 89437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89421 and 89437. First we will calculate the prime factors of 89421 and 89437.

Prime Factorization of 89421

Prime Factorization of 89437

Now multiplying the highest exponent prime factors to calculate the LCM of 89421 and 89437.

LCM(89421,89437) = 3¹ × 41¹ × 727¹ × 17¹ × 5261¹
LCM(89421,89437) = 7997545977