What is the Least Common Multiple of 61330 and 61345?

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 61330 and 61345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61330 and 61345, than apply into the LCM equation.

GCF(61330,61345) = 5
LCM(61330,61345) = ( 61330 × 61345) / 5
LCM(61330,61345) = 3762288850 / 5
LCM(61330,61345) = 752457770

Least Common Multiple (LCM) of 61330 and 61345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61330 and 61345. First we will calculate the prime factors of 61330 and 61345.

Prime Factorization of 61330

Prime Factorization of 61345

Now multiplying the highest exponent prime factors to calculate the LCM of 61330 and 61345.

LCM(61330,61345) = 2¹ × 5¹ × 6133¹ × 12269¹
LCM(61330,61345) = 752457770