What is the Least Common Multiple of 32664 and 32669?

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 32664 and 32669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32664 and 32669, than apply into the LCM equation.

GCF(32664,32669) = 1
LCM(32664,32669) = ( 32664 × 32669) / 1
LCM(32664,32669) = 1067100216 / 1
LCM(32664,32669) = 1067100216

Least Common Multiple (LCM) of 32664 and 32669 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32664 and 32669. First we will calculate the prime factors of 32664 and 32669.

Prime Factorization of 32664

Prime Factorization of 32669

Now multiplying the highest exponent prime factors to calculate the LCM of 32664 and 32669.

LCM(32664,32669) = 2³ × 3¹ × 1361¹ × 7¹ × 13¹ × 359¹
LCM(32664,32669) = 1067100216