What is the Least Common Multiple of 32730 and 32738?

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 32730 and 32738 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32730 and 32738, than apply into the LCM equation.

GCF(32730,32738) = 2
LCM(32730,32738) = ( 32730 × 32738) / 2
LCM(32730,32738) = 1071514740 / 2
LCM(32730,32738) = 535757370

Least Common Multiple (LCM) of 32730 and 32738 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32730 and 32738. First we will calculate the prime factors of 32730 and 32738.

Prime Factorization of 32730

Prime Factorization of 32738

Now multiplying the highest exponent prime factors to calculate the LCM of 32730 and 32738.

LCM(32730,32738) = 2¹ × 3¹ × 5¹ × 1091¹ × 16369¹
LCM(32730,32738) = 535757370