What is the Least Common Multiple of 65405 and 65411?

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 65405 and 65411 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65405 and 65411, than apply into the LCM equation.

GCF(65405,65411) = 1
LCM(65405,65411) = ( 65405 × 65411) / 1
LCM(65405,65411) = 4278206455 / 1
LCM(65405,65411) = 4278206455

Least Common Multiple (LCM) of 65405 and 65411 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65405 and 65411. First we will calculate the prime factors of 65405 and 65411.

Prime Factorization of 65405

Prime Factorization of 65411

Now multiplying the highest exponent prime factors to calculate the LCM of 65405 and 65411.

LCM(65405,65411) = 5¹ × 103¹ × 127¹ × 149¹ × 439¹
LCM(65405,65411) = 4278206455