What is the Least Common Multiple of 59686 and 59706?

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 59686 and 59706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59686 and 59706, than apply into the LCM equation.

GCF(59686,59706) = 2
LCM(59686,59706) = ( 59686 × 59706) / 2
LCM(59686,59706) = 3563612316 / 2
LCM(59686,59706) = 1781806158

Least Common Multiple (LCM) of 59686 and 59706 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59686 and 59706. First we will calculate the prime factors of 59686 and 59706.

Prime Factorization of 59686

Prime Factorization of 59706

Now multiplying the highest exponent prime factors to calculate the LCM of 59686 and 59706.

LCM(59686,59706) = 2¹ × 11¹ × 2713¹ × 3² × 31¹ × 107¹
LCM(59686,59706) = 1781806158