What is the Least Common Multiple of 71028 and 71043?

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 71028 and 71043 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71028 and 71043, than apply into the LCM equation.

GCF(71028,71043) = 3
LCM(71028,71043) = ( 71028 × 71043) / 3
LCM(71028,71043) = 5046042204 / 3
LCM(71028,71043) = 1682014068

Least Common Multiple (LCM) of 71028 and 71043 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71028 and 71043. First we will calculate the prime factors of 71028 and 71043.

Prime Factorization of 71028

Prime Factorization of 71043

Now multiplying the highest exponent prime factors to calculate the LCM of 71028 and 71043.

LCM(71028,71043) = 2² × 3² × 1973¹ × 7¹ × 17¹ × 199¹
LCM(71028,71043) = 1682014068