What is the Least Common Multiple of 32142 and 32159?

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 32142 and 32159 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32142 and 32159, than apply into the LCM equation.

GCF(32142,32159) = 1
LCM(32142,32159) = ( 32142 × 32159) / 1
LCM(32142,32159) = 1033654578 / 1
LCM(32142,32159) = 1033654578

Least Common Multiple (LCM) of 32142 and 32159 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32142 and 32159. First we will calculate the prime factors of 32142 and 32159.

Prime Factorization of 32142

Prime Factorization of 32159

Now multiplying the highest exponent prime factors to calculate the LCM of 32142 and 32159.

LCM(32142,32159) = 2¹ × 3¹ × 11¹ × 487¹ × 32159¹
LCM(32142,32159) = 1033654578