What is the Least Common Multiple of 65435 and 65454?

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 65435 and 65454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65435 and 65454, than apply into the LCM equation.

GCF(65435,65454) = 1
LCM(65435,65454) = ( 65435 × 65454) / 1
LCM(65435,65454) = 4282982490 / 1
LCM(65435,65454) = 4282982490

Least Common Multiple (LCM) of 65435 and 65454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65435 and 65454. First we will calculate the prime factors of 65435 and 65454.

Prime Factorization of 65435

Prime Factorization of 65454

Now multiplying the highest exponent prime factors to calculate the LCM of 65435 and 65454.

LCM(65435,65454) = 5¹ × 23¹ × 569¹ × 2¹ × 3¹ × 10909¹
LCM(65435,65454) = 4282982490