What is the Least Common Multiple of 68670 and 68688?

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 68670 and 68688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68670 and 68688, than apply into the LCM equation.

GCF(68670,68688) = 18
LCM(68670,68688) = ( 68670 × 68688) / 18
LCM(68670,68688) = 4716804960 / 18
LCM(68670,68688) = 262044720

Least Common Multiple (LCM) of 68670 and 68688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68670 and 68688. First we will calculate the prime factors of 68670 and 68688.

Prime Factorization of 68670

Prime Factorization of 68688

Now multiplying the highest exponent prime factors to calculate the LCM of 68670 and 68688.

LCM(68670,68688) = 2⁴ × 3⁴ × 5¹ × 7¹ × 109¹ × 53¹
LCM(68670,68688) = 262044720