What is the Least Common Multiple of 71868 and 71884?

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 71868 and 71884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71868 and 71884, than apply into the LCM equation.

GCF(71868,71884) = 4
LCM(71868,71884) = ( 71868 × 71884) / 4
LCM(71868,71884) = 5166159312 / 4
LCM(71868,71884) = 1291539828

Least Common Multiple (LCM) of 71868 and 71884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71868 and 71884. First we will calculate the prime factors of 71868 and 71884.

Prime Factorization of 71868

Prime Factorization of 71884

Now multiplying the highest exponent prime factors to calculate the LCM of 71868 and 71884.

LCM(71868,71884) = 2² × 3¹ × 53¹ × 113¹ × 17971¹
LCM(71868,71884) = 1291539828