What is the Least Common Multiple of 27890 and 27899?

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 27890 and 27899 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27890 and 27899, than apply into the LCM equation.

GCF(27890,27899) = 1
LCM(27890,27899) = ( 27890 × 27899) / 1
LCM(27890,27899) = 778103110 / 1
LCM(27890,27899) = 778103110

Least Common Multiple (LCM) of 27890 and 27899 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27890 and 27899. First we will calculate the prime factors of 27890 and 27899.

Prime Factorization of 27890

Prime Factorization of 27899

Now multiplying the highest exponent prime factors to calculate the LCM of 27890 and 27899.

LCM(27890,27899) = 2¹ × 5¹ × 2789¹ × 23¹ × 1213¹
LCM(27890,27899) = 778103110