What is the Least Common Multiple of 32109 and 32126?

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 32109 and 32126 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32109 and 32126, than apply into the LCM equation.

GCF(32109,32126) = 1
LCM(32109,32126) = ( 32109 × 32126) / 1
LCM(32109,32126) = 1031533734 / 1
LCM(32109,32126) = 1031533734

Least Common Multiple (LCM) of 32109 and 32126 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32109 and 32126. First we will calculate the prime factors of 32109 and 32126.

Prime Factorization of 32109

Prime Factorization of 32126

Now multiplying the highest exponent prime factors to calculate the LCM of 32109 and 32126.

LCM(32109,32126) = 3¹ × 7¹ × 11¹ × 139¹ × 2¹ × 16063¹
LCM(32109,32126) = 1031533734