What is the Least Common Multiple of 68880 and 68894?

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 68880 and 68894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68880 and 68894, than apply into the LCM equation.

GCF(68880,68894) = 14
LCM(68880,68894) = ( 68880 × 68894) / 14
LCM(68880,68894) = 4745418720 / 14
LCM(68880,68894) = 338958480

Least Common Multiple (LCM) of 68880 and 68894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68880 and 68894. First we will calculate the prime factors of 68880 and 68894.

Prime Factorization of 68880

Prime Factorization of 68894

Now multiplying the highest exponent prime factors to calculate the LCM of 68880 and 68894.

LCM(68880,68894) = 2⁴ × 3¹ × 5¹ × 7² × 41¹ × 19¹ × 37¹
LCM(68880,68894) = 338958480