What is the Least Common Multiple of 32142 and 32162?

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 32162 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 32162, than apply into the LCM equation.

GCF(32142,32162) = 2
LCM(32142,32162) = ( 32142 × 32162) / 2
LCM(32142,32162) = 1033751004 / 2
LCM(32142,32162) = 516875502

Least Common Multiple (LCM) of 32142 and 32162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32142 and 32162. First we will calculate the prime factors of 32142 and 32162.

Prime Factorization of 32142

Prime Factorization of 32162

Now multiplying the highest exponent prime factors to calculate the LCM of 32142 and 32162.

LCM(32142,32162) = 2¹ × 3¹ × 11¹ × 487¹ × 13¹ × 1237¹
LCM(32142,32162) = 516875502