What is the Least Common Multiple of 73890 and 73894?

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 73890 and 73894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73890 and 73894, than apply into the LCM equation.

GCF(73890,73894) = 2
LCM(73890,73894) = ( 73890 × 73894) / 2
LCM(73890,73894) = 5460027660 / 2
LCM(73890,73894) = 2730013830

Least Common Multiple (LCM) of 73890 and 73894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73890 and 73894. First we will calculate the prime factors of 73890 and 73894.

Prime Factorization of 73890

Prime Factorization of 73894

Now multiplying the highest exponent prime factors to calculate the LCM of 73890 and 73894.

LCM(73890,73894) = 2¹ × 3² × 5¹ × 821¹ × 36947¹
LCM(73890,73894) = 2730013830