What is the Least Common Multiple of 71006 and 71023?

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 71006 and 71023 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71006 and 71023, than apply into the LCM equation.

GCF(71006,71023) = 1
LCM(71006,71023) = ( 71006 × 71023) / 1
LCM(71006,71023) = 5043059138 / 1
LCM(71006,71023) = 5043059138

Least Common Multiple (LCM) of 71006 and 71023 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71006 and 71023. First we will calculate the prime factors of 71006 and 71023.

Prime Factorization of 71006

Prime Factorization of 71023

Now multiplying the highest exponent prime factors to calculate the LCM of 71006 and 71023.

LCM(71006,71023) = 2¹ × 13¹ × 2731¹ × 71023¹
LCM(71006,71023) = 5043059138