What is the Least Common Multiple of 10071 and 10077?

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 10071 and 10077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10071 and 10077, than apply into the LCM equation.

GCF(10071,10077) = 3
LCM(10071,10077) = ( 10071 × 10077) / 3
LCM(10071,10077) = 101485467 / 3
LCM(10071,10077) = 33828489

Least Common Multiple (LCM) of 10071 and 10077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10071 and 10077. First we will calculate the prime factors of 10071 and 10077.

Prime Factorization of 10071

Prime Factorization of 10077

Now multiplying the highest exponent prime factors to calculate the LCM of 10071 and 10077.

LCM(10071,10077) = 3³ × 373¹ × 3359¹
LCM(10071,10077) = 33828489