What is the Least Common Multiple of 66576 and 66585?

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 66576 and 66585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66576 and 66585, than apply into the LCM equation.

GCF(66576,66585) = 3
LCM(66576,66585) = ( 66576 × 66585) / 3
LCM(66576,66585) = 4432962960 / 3
LCM(66576,66585) = 1477654320

Least Common Multiple (LCM) of 66576 and 66585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66576 and 66585. First we will calculate the prime factors of 66576 and 66585.

Prime Factorization of 66576

Prime Factorization of 66585

Now multiplying the highest exponent prime factors to calculate the LCM of 66576 and 66585.

LCM(66576,66585) = 2⁴ × 3¹ × 19¹ × 73¹ × 5¹ × 23¹ × 193¹
LCM(66576,66585) = 1477654320