What is the Least Common Multiple of 76686 and 76700?

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 76686 and 76700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76686 and 76700, than apply into the LCM equation.

GCF(76686,76700) = 2
LCM(76686,76700) = ( 76686 × 76700) / 2
LCM(76686,76700) = 5881816200 / 2
LCM(76686,76700) = 2940908100

Least Common Multiple (LCM) of 76686 and 76700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76686 and 76700. First we will calculate the prime factors of 76686 and 76700.

Prime Factorization of 76686

Prime Factorization of 76700

Now multiplying the highest exponent prime factors to calculate the LCM of 76686 and 76700.

LCM(76686,76700) = 2² × 3¹ × 12781¹ × 5² × 13¹ × 59¹
LCM(76686,76700) = 2940908100