What is the Least Common Multiple of 32112 and 32121?

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 32112 and 32121 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32112 and 32121, than apply into the LCM equation.

GCF(32112,32121) = 9
LCM(32112,32121) = ( 32112 × 32121) / 9
LCM(32112,32121) = 1031469552 / 9
LCM(32112,32121) = 114607728

Least Common Multiple (LCM) of 32112 and 32121 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32112 and 32121. First we will calculate the prime factors of 32112 and 32121.

Prime Factorization of 32112

Prime Factorization of 32121

Now multiplying the highest exponent prime factors to calculate the LCM of 32112 and 32121.

LCM(32112,32121) = 2⁴ × 3² × 223¹ × 43¹ × 83¹
LCM(32112,32121) = 114607728