What is the Least Common Multiple of 61310 and 61328?

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 61310 and 61328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61310 and 61328, than apply into the LCM equation.

GCF(61310,61328) = 2
LCM(61310,61328) = ( 61310 × 61328) / 2
LCM(61310,61328) = 3760019680 / 2
LCM(61310,61328) = 1880009840

Least Common Multiple (LCM) of 61310 and 61328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61310 and 61328. First we will calculate the prime factors of 61310 and 61328.

Prime Factorization of 61310

Prime Factorization of 61328

Now multiplying the highest exponent prime factors to calculate the LCM of 61310 and 61328.

LCM(61310,61328) = 2⁴ × 5¹ × 6131¹ × 3833¹
LCM(61310,61328) = 1880009840