What is the Least Common Multiple of 71049 and 71068?

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 71049 and 71068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71049 and 71068, than apply into the LCM equation.

GCF(71049,71068) = 1
LCM(71049,71068) = ( 71049 × 71068) / 1
LCM(71049,71068) = 5049310332 / 1
LCM(71049,71068) = 5049310332

Least Common Multiple (LCM) of 71049 and 71068 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71049 and 71068. First we will calculate the prime factors of 71049 and 71068.

Prime Factorization of 71049

Prime Factorization of 71068

Now multiplying the highest exponent prime factors to calculate the LCM of 71049 and 71068.

LCM(71049,71068) = 3¹ × 11¹ × 2153¹ × 2² × 109¹ × 163¹
LCM(71049,71068) = 5049310332