What is the Least Common Multiple of 32758 and 32769?

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 32758 and 32769 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32758 and 32769, than apply into the LCM equation.

GCF(32758,32769) = 11
LCM(32758,32769) = ( 32758 × 32769) / 11
LCM(32758,32769) = 1073446902 / 11
LCM(32758,32769) = 97586082

Least Common Multiple (LCM) of 32758 and 32769 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32758 and 32769. First we will calculate the prime factors of 32758 and 32769.

Prime Factorization of 32758

Prime Factorization of 32769

Now multiplying the highest exponent prime factors to calculate the LCM of 32758 and 32769.

LCM(32758,32769) = 2¹ × 11¹ × 1489¹ × 3² × 331¹
LCM(32758,32769) = 97586082