What is the Least Common Multiple of 60705 and 60716?

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 60705 and 60716 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60705 and 60716, than apply into the LCM equation.

GCF(60705,60716) = 1
LCM(60705,60716) = ( 60705 × 60716) / 1
LCM(60705,60716) = 3685764780 / 1
LCM(60705,60716) = 3685764780

Least Common Multiple (LCM) of 60705 and 60716 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60705 and 60716. First we will calculate the prime factors of 60705 and 60716.

Prime Factorization of 60705

Prime Factorization of 60716

Now multiplying the highest exponent prime factors to calculate the LCM of 60705 and 60716.

LCM(60705,60716) = 3² × 5¹ × 19¹ × 71¹ × 2² × 43¹ × 353¹
LCM(60705,60716) = 3685764780