What is the Least Common Multiple of 61686 and 61700?

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 61686 and 61700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61686 and 61700, than apply into the LCM equation.

GCF(61686,61700) = 2
LCM(61686,61700) = ( 61686 × 61700) / 2
LCM(61686,61700) = 3806026200 / 2
LCM(61686,61700) = 1903013100

Least Common Multiple (LCM) of 61686 and 61700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61686 and 61700. First we will calculate the prime factors of 61686 and 61700.

Prime Factorization of 61686

Prime Factorization of 61700

Now multiplying the highest exponent prime factors to calculate the LCM of 61686 and 61700.

LCM(61686,61700) = 2² × 3² × 23¹ × 149¹ × 5² × 617¹
LCM(61686,61700) = 1903013100