What is the Least Common Multiple of 77405 and 77409?

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 77405 and 77409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77405 and 77409, than apply into the LCM equation.

GCF(77405,77409) = 1
LCM(77405,77409) = ( 77405 × 77409) / 1
LCM(77405,77409) = 5991843645 / 1
LCM(77405,77409) = 5991843645

Least Common Multiple (LCM) of 77405 and 77409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77405 and 77409. First we will calculate the prime factors of 77405 and 77409.

Prime Factorization of 77405

Prime Factorization of 77409

Now multiplying the highest exponent prime factors to calculate the LCM of 77405 and 77409.

LCM(77405,77409) = 5¹ × 113¹ × 137¹ × 3³ × 47¹ × 61¹
LCM(77405,77409) = 5991843645