What is the Least Common Multiple of 71854 and 71864?

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 71854 and 71864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71854 and 71864, than apply into the LCM equation.

GCF(71854,71864) = 2
LCM(71854,71864) = ( 71854 × 71864) / 2
LCM(71854,71864) = 5163715856 / 2
LCM(71854,71864) = 2581857928

Least Common Multiple (LCM) of 71854 and 71864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71854 and 71864. First we will calculate the prime factors of 71854 and 71864.

Prime Factorization of 71854

Prime Factorization of 71864

Now multiplying the highest exponent prime factors to calculate the LCM of 71854 and 71864.

LCM(71854,71864) = 2³ × 37¹ × 971¹ × 13¹ × 691¹
LCM(71854,71864) = 2581857928