What is the Least Common Multiple of 71029 and 71047?

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 71029 and 71047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71029 and 71047, than apply into the LCM equation.

GCF(71029,71047) = 1
LCM(71029,71047) = ( 71029 × 71047) / 1
LCM(71029,71047) = 5046397363 / 1
LCM(71029,71047) = 5046397363

Least Common Multiple (LCM) of 71029 and 71047 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71029 and 71047. First we will calculate the prime factors of 71029 and 71047.

Prime Factorization of 71029

Prime Factorization of 71047

Now multiplying the highest exponent prime factors to calculate the LCM of 71029 and 71047.

LCM(71029,71047) = 7¹ × 73¹ × 139¹ × 23¹ × 3089¹
LCM(71029,71047) = 5046397363