What is the Least Common Multiple of 12061 and 12080?

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 12061 and 12080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12061 and 12080, than apply into the LCM equation.

GCF(12061,12080) = 1
LCM(12061,12080) = ( 12061 × 12080) / 1
LCM(12061,12080) = 145696880 / 1
LCM(12061,12080) = 145696880

Least Common Multiple (LCM) of 12061 and 12080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12061 and 12080. First we will calculate the prime factors of 12061 and 12080.

Prime Factorization of 12061

Prime Factorization of 12080

Now multiplying the highest exponent prime factors to calculate the LCM of 12061 and 12080.

LCM(12061,12080) = 7¹ × 1723¹ × 2⁴ × 5¹ × 151¹
LCM(12061,12080) = 145696880