What is the Least Common Multiple of 66573 and 66588?

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 66573 and 66588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66573 and 66588, than apply into the LCM equation.

GCF(66573,66588) = 3
LCM(66573,66588) = ( 66573 × 66588) / 3
LCM(66573,66588) = 4432962924 / 3
LCM(66573,66588) = 1477654308

Least Common Multiple (LCM) of 66573 and 66588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66573 and 66588. First we will calculate the prime factors of 66573 and 66588.

Prime Factorization of 66573

Prime Factorization of 66588

Now multiplying the highest exponent prime factors to calculate the LCM of 66573 and 66588.

LCM(66573,66588) = 3² × 13¹ × 569¹ × 2² × 31¹ × 179¹
LCM(66573,66588) = 1477654308