What is the Least Common Multiple of 68688 and 68700?

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 68688 and 68700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68688 and 68700, than apply into the LCM equation.

GCF(68688,68700) = 12
LCM(68688,68700) = ( 68688 × 68700) / 12
LCM(68688,68700) = 4718865600 / 12
LCM(68688,68700) = 393238800

Least Common Multiple (LCM) of 68688 and 68700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68688 and 68700. First we will calculate the prime factors of 68688 and 68700.

Prime Factorization of 68688

Prime Factorization of 68700

Now multiplying the highest exponent prime factors to calculate the LCM of 68688 and 68700.

LCM(68688,68700) = 2⁴ × 3⁴ × 53¹ × 5² × 229¹
LCM(68688,68700) = 393238800