What is the Least Common Multiple of 71877 and 71887?

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 71877 and 71887 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71877 and 71887, than apply into the LCM equation.

GCF(71877,71887) = 1
LCM(71877,71887) = ( 71877 × 71887) / 1
LCM(71877,71887) = 5167021899 / 1
LCM(71877,71887) = 5167021899

Least Common Multiple (LCM) of 71877 and 71887 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71877 and 71887. First we will calculate the prime factors of 71877 and 71887.

Prime Factorization of 71877

Prime Factorization of 71887

Now multiplying the highest exponent prime factors to calculate the LCM of 71877 and 71887.

LCM(71877,71887) = 3¹ × 13¹ × 19¹ × 97¹ × 71887¹
LCM(71877,71887) = 5167021899