What is the Least Common Multiple of 60845 and 60865?

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 60845 and 60865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60845 and 60865, than apply into the LCM equation.

GCF(60845,60865) = 5
LCM(60845,60865) = ( 60845 × 60865) / 5
LCM(60845,60865) = 3703330925 / 5
LCM(60845,60865) = 740666185

Least Common Multiple (LCM) of 60845 and 60865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60845 and 60865. First we will calculate the prime factors of 60845 and 60865.

Prime Factorization of 60845

Prime Factorization of 60865

Now multiplying the highest exponent prime factors to calculate the LCM of 60845 and 60865.

LCM(60845,60865) = 5¹ × 43¹ × 283¹ × 7¹ × 37¹ × 47¹
LCM(60845,60865) = 740666185