What is the Least Common Multiple of 32102 and 32114?

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 32102 and 32114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32102 and 32114, than apply into the LCM equation.

GCF(32102,32114) = 2
LCM(32102,32114) = ( 32102 × 32114) / 2
LCM(32102,32114) = 1030923628 / 2
LCM(32102,32114) = 515461814

Least Common Multiple (LCM) of 32102 and 32114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32102 and 32114. First we will calculate the prime factors of 32102 and 32114.

Prime Factorization of 32102

Prime Factorization of 32114

Now multiplying the highest exponent prime factors to calculate the LCM of 32102 and 32114.

LCM(32102,32114) = 2¹ × 7¹ × 2293¹ × 16057¹
LCM(32102,32114) = 515461814