What is the Least Common Multiple of 18890 and 18894?

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 18890 and 18894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18890 and 18894, than apply into the LCM equation.

GCF(18890,18894) = 2
LCM(18890,18894) = ( 18890 × 18894) / 2
LCM(18890,18894) = 356907660 / 2
LCM(18890,18894) = 178453830

Least Common Multiple (LCM) of 18890 and 18894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18890 and 18894. First we will calculate the prime factors of 18890 and 18894.

Prime Factorization of 18890

Prime Factorization of 18894

Now multiplying the highest exponent prime factors to calculate the LCM of 18890 and 18894.

LCM(18890,18894) = 2¹ × 5¹ × 1889¹ × 3¹ × 47¹ × 67¹
LCM(18890,18894) = 178453830