What is the Least Common Multiple of 60352 and 60365?

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 60352 and 60365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60352 and 60365, than apply into the LCM equation.

GCF(60352,60365) = 1
LCM(60352,60365) = ( 60352 × 60365) / 1
LCM(60352,60365) = 3643148480 / 1
LCM(60352,60365) = 3643148480

Least Common Multiple (LCM) of 60352 and 60365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60352 and 60365. First we will calculate the prime factors of 60352 and 60365.

Prime Factorization of 60352

Prime Factorization of 60365

Now multiplying the highest exponent prime factors to calculate the LCM of 60352 and 60365.

LCM(60352,60365) = 2⁶ × 23¹ × 41¹ × 5¹ × 12073¹
LCM(60352,60365) = 3643148480