What is the Least Common Multiple of 66405 and 66415?

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 66415 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 66415, than apply into the LCM equation.

GCF(66405,66415) = 5
LCM(66405,66415) = ( 66405 × 66415) / 5
LCM(66405,66415) = 4410288075 / 5
LCM(66405,66415) = 882057615

Least Common Multiple (LCM) of 66405 and 66415 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66405 and 66415. First we will calculate the prime factors of 66405 and 66415.

Prime Factorization of 66405

Prime Factorization of 66415

Now multiplying the highest exponent prime factors to calculate the LCM of 66405 and 66415.

LCM(66405,66415) = 3¹ × 5¹ × 19¹ × 233¹ × 37¹ × 359¹
LCM(66405,66415) = 882057615