What is the Least Common Multiple of 27870 and 27877?

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 27877 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 27877, than apply into the LCM equation.

GCF(27870,27877) = 1
LCM(27870,27877) = ( 27870 × 27877) / 1
LCM(27870,27877) = 776931990 / 1
LCM(27870,27877) = 776931990

Least Common Multiple (LCM) of 27870 and 27877 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27870 and 27877. First we will calculate the prime factors of 27870 and 27877.

Prime Factorization of 27870

Prime Factorization of 27877

Now multiplying the highest exponent prime factors to calculate the LCM of 27870 and 27877.

LCM(27870,27877) = 2¹ × 3¹ × 5¹ × 929¹ × 61¹ × 457¹
LCM(27870,27877) = 776931990