What is the Least Common Multiple of 32120 and 32140?

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 32120 and 32140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32120 and 32140, than apply into the LCM equation.

GCF(32120,32140) = 20
LCM(32120,32140) = ( 32120 × 32140) / 20
LCM(32120,32140) = 1032336800 / 20
LCM(32120,32140) = 51616840

Least Common Multiple (LCM) of 32120 and 32140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32120 and 32140. First we will calculate the prime factors of 32120 and 32140.

Prime Factorization of 32120

Prime Factorization of 32140

Now multiplying the highest exponent prime factors to calculate the LCM of 32120 and 32140.

LCM(32120,32140) = 2³ × 5¹ × 11¹ × 73¹ × 1607¹
LCM(32120,32140) = 51616840