What is the Least Common Multiple of 39321 and 39330?

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 39321 and 39330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39321 and 39330, than apply into the LCM equation.

GCF(39321,39330) = 9
LCM(39321,39330) = ( 39321 × 39330) / 9
LCM(39321,39330) = 1546494930 / 9
LCM(39321,39330) = 171832770

Least Common Multiple (LCM) of 39321 and 39330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39321 and 39330. First we will calculate the prime factors of 39321 and 39330.

Prime Factorization of 39321

Prime Factorization of 39330

Now multiplying the highest exponent prime factors to calculate the LCM of 39321 and 39330.

LCM(39321,39330) = 3² × 17¹ × 257¹ × 2¹ × 5¹ × 19¹ × 23¹
LCM(39321,39330) = 171832770