What is the Least Common Multiple of 66405 and 66410?

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 66410 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 66410, than apply into the LCM equation.

GCF(66405,66410) = 5
LCM(66405,66410) = ( 66405 × 66410) / 5
LCM(66405,66410) = 4409956050 / 5
LCM(66405,66410) = 881991210

Least Common Multiple (LCM) of 66405 and 66410 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66405 and 66410. First we will calculate the prime factors of 66405 and 66410.

Prime Factorization of 66405

Prime Factorization of 66410

Now multiplying the highest exponent prime factors to calculate the LCM of 66405 and 66410.

LCM(66405,66410) = 3¹ × 5¹ × 19¹ × 233¹ × 2¹ × 29¹ × 229¹
LCM(66405,66410) = 881991210