What is the Least Common Multiple of 60786 and 60795?

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 60786 and 60795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60786 and 60795, than apply into the LCM equation.

GCF(60786,60795) = 9
LCM(60786,60795) = ( 60786 × 60795) / 9
LCM(60786,60795) = 3695484870 / 9
LCM(60786,60795) = 410609430

Least Common Multiple (LCM) of 60786 and 60795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60786 and 60795. First we will calculate the prime factors of 60786 and 60795.

Prime Factorization of 60786

Prime Factorization of 60795

Now multiplying the highest exponent prime factors to calculate the LCM of 60786 and 60795.

LCM(60786,60795) = 2¹ × 3² × 11¹ × 307¹ × 5¹ × 7¹ × 193¹
LCM(60786,60795) = 410609430