What is the Least Common Multiple of 66443 and 66457?

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 66443 and 66457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66443 and 66457, than apply into the LCM equation.

GCF(66443,66457) = 1
LCM(66443,66457) = ( 66443 × 66457) / 1
LCM(66443,66457) = 4415602451 / 1
LCM(66443,66457) = 4415602451

Least Common Multiple (LCM) of 66443 and 66457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66443 and 66457. First we will calculate the prime factors of 66443 and 66457.

Prime Factorization of 66443

Prime Factorization of 66457

Now multiplying the highest exponent prime factors to calculate the LCM of 66443 and 66457.

LCM(66443,66457) = 13¹ × 19¹ × 269¹ × 66457¹
LCM(66443,66457) = 4415602451