What is the Least Common Multiple of 61345 and 61365?

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 61345 and 61365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61345 and 61365, than apply into the LCM equation.

GCF(61345,61365) = 5
LCM(61345,61365) = ( 61345 × 61365) / 5
LCM(61345,61365) = 3764435925 / 5
LCM(61345,61365) = 752887185

Least Common Multiple (LCM) of 61345 and 61365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61345 and 61365. First we will calculate the prime factors of 61345 and 61365.

Prime Factorization of 61345

Prime Factorization of 61365

Now multiplying the highest exponent prime factors to calculate the LCM of 61345 and 61365.

LCM(61345,61365) = 5¹ × 12269¹ × 3¹ × 4091¹
LCM(61345,61365) = 752887185