What is the Least Common Multiple of 23871 and 23877?

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 23871 and 23877 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23871 and 23877, than apply into the LCM equation.

GCF(23871,23877) = 3
LCM(23871,23877) = ( 23871 × 23877) / 3
LCM(23871,23877) = 569967867 / 3
LCM(23871,23877) = 189989289

Least Common Multiple (LCM) of 23871 and 23877 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23871 and 23877. First we will calculate the prime factors of 23871 and 23877.

Prime Factorization of 23871

Prime Factorization of 23877

Now multiplying the highest exponent prime factors to calculate the LCM of 23871 and 23877.

LCM(23871,23877) = 3² × 73¹ × 109¹ × 7¹ × 379¹
LCM(23871,23877) = 189989289