What is the Least Common Multiple of 66405 and 66409?

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 66405 and 66409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66405 and 66409, than apply into the LCM equation.

GCF(66405,66409) = 1
LCM(66405,66409) = ( 66405 × 66409) / 1
LCM(66405,66409) = 4409889645 / 1
LCM(66405,66409) = 4409889645

Least Common Multiple (LCM) of 66405 and 66409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66405 and 66409. First we will calculate the prime factors of 66405 and 66409.

Prime Factorization of 66405

Prime Factorization of 66409

Now multiplying the highest exponent prime factors to calculate the LCM of 66405 and 66409.

LCM(66405,66409) = 3¹ × 5¹ × 19¹ × 233¹ × 7¹ × 53¹ × 179¹
LCM(66405,66409) = 4409889645