What is the Least Common Multiple of 71043 and 71052?

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 71043 and 71052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71043 and 71052, than apply into the LCM equation.

GCF(71043,71052) = 3
LCM(71043,71052) = ( 71043 × 71052) / 3
LCM(71043,71052) = 5047747236 / 3
LCM(71043,71052) = 1682582412

Least Common Multiple (LCM) of 71043 and 71052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71043 and 71052. First we will calculate the prime factors of 71043 and 71052.

Prime Factorization of 71043

Prime Factorization of 71052

Now multiplying the highest exponent prime factors to calculate the LCM of 71043 and 71052.

LCM(71043,71052) = 3¹ × 7¹ × 17¹ × 199¹ × 2² × 31¹ × 191¹
LCM(71043,71052) = 1682582412