What is the Least Common Multiple of 66585 and 66603?

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 66585 and 66603 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66585 and 66603, than apply into the LCM equation.

GCF(66585,66603) = 3
LCM(66585,66603) = ( 66585 × 66603) / 3
LCM(66585,66603) = 4434760755 / 3
LCM(66585,66603) = 1478253585

Least Common Multiple (LCM) of 66585 and 66603 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66585 and 66603. First we will calculate the prime factors of 66585 and 66603.

Prime Factorization of 66585

Prime Factorization of 66603

Now multiplying the highest exponent prime factors to calculate the LCM of 66585 and 66603.

LCM(66585,66603) = 3¹ × 5¹ × 23¹ × 193¹ × 149²
LCM(66585,66603) = 1478253585