What is the Least Common Multiple of 65633 and 65649?

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 65633 and 65649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65633 and 65649, than apply into the LCM equation.

GCF(65633,65649) = 1
LCM(65633,65649) = ( 65633 × 65649) / 1
LCM(65633,65649) = 4308740817 / 1
LCM(65633,65649) = 4308740817

Least Common Multiple (LCM) of 65633 and 65649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65633 and 65649. First we will calculate the prime factors of 65633 and 65649.

Prime Factorization of 65633

Prime Factorization of 65649

Now multiplying the highest exponent prime factors to calculate the LCM of 65633 and 65649.

LCM(65633,65649) = 65633¹ × 3¹ × 79¹ × 277¹
LCM(65633,65649) = 4308740817