What is the Least Common Multiple of 65353 and 65369?

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 65353 and 65369 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65353 and 65369, than apply into the LCM equation.

GCF(65353,65369) = 1
LCM(65353,65369) = ( 65353 × 65369) / 1
LCM(65353,65369) = 4272060257 / 1
LCM(65353,65369) = 4272060257

Least Common Multiple (LCM) of 65353 and 65369 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65353 and 65369. First we will calculate the prime factors of 65353 and 65369.

Prime Factorization of 65353

Prime Factorization of 65369

Now multiplying the highest exponent prime factors to calculate the LCM of 65353 and 65369.

LCM(65353,65369) = 65353¹ × 131¹ × 499¹
LCM(65353,65369) = 4272060257