What is the Least Common Multiple of 27870 and 27887?

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 27870 and 27887 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27870 and 27887, than apply into the LCM equation.

GCF(27870,27887) = 1
LCM(27870,27887) = ( 27870 × 27887) / 1
LCM(27870,27887) = 777210690 / 1
LCM(27870,27887) = 777210690

Least Common Multiple (LCM) of 27870 and 27887 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27870 and 27887. First we will calculate the prime factors of 27870 and 27887.

Prime Factorization of 27870

Prime Factorization of 27887

Now multiplying the highest exponent prime factors to calculate the LCM of 27870 and 27887.

LCM(27870,27887) = 2¹ × 3¹ × 5¹ × 929¹ × 79¹ × 353¹
LCM(27870,27887) = 777210690