What is the Least Common Multiple of 61405 and 61409?

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 61405 and 61409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61405 and 61409, than apply into the LCM equation.

GCF(61405,61409) = 1
LCM(61405,61409) = ( 61405 × 61409) / 1
LCM(61405,61409) = 3770819645 / 1
LCM(61405,61409) = 3770819645

Least Common Multiple (LCM) of 61405 and 61409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61405 and 61409. First we will calculate the prime factors of 61405 and 61409.

Prime Factorization of 61405

Prime Factorization of 61409

Now multiplying the highest exponent prime factors to calculate the LCM of 61405 and 61409.

LCM(61405,61409) = 5¹ × 12281¹ × 61409¹
LCM(61405,61409) = 3770819645