What is the Least Common Multiple of 71028 and 71041?

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 71041 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 71041, than apply into the LCM equation.

GCF(71028,71041) = 1
LCM(71028,71041) = ( 71028 × 71041) / 1
LCM(71028,71041) = 5045900148 / 1
LCM(71028,71041) = 5045900148

Least Common Multiple (LCM) of 71028 and 71041 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71028 and 71041. First we will calculate the prime factors of 71028 and 71041.

Prime Factorization of 71028

Prime Factorization of 71041

Now multiplying the highest exponent prime factors to calculate the LCM of 71028 and 71041.

LCM(71028,71041) = 2² × 3² × 1973¹ × 19¹ × 3739¹
LCM(71028,71041) = 5045900148