What is the Least Common Multiple of 61335 and 61340?

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 61335 and 61340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61335 and 61340, than apply into the LCM equation.

GCF(61335,61340) = 5
LCM(61335,61340) = ( 61335 × 61340) / 5
LCM(61335,61340) = 3762288900 / 5
LCM(61335,61340) = 752457780

Least Common Multiple (LCM) of 61335 and 61340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61335 and 61340. First we will calculate the prime factors of 61335 and 61340.

Prime Factorization of 61335

Prime Factorization of 61340

Now multiplying the highest exponent prime factors to calculate the LCM of 61335 and 61340.

LCM(61335,61340) = 3² × 5¹ × 29¹ × 47¹ × 2² × 3067¹
LCM(61335,61340) = 752457780