What is the Least Common Multiple of 71678 and 71686?

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 71678 and 71686 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71678 and 71686, than apply into the LCM equation.

GCF(71678,71686) = 2
LCM(71678,71686) = ( 71678 × 71686) / 2
LCM(71678,71686) = 5138309108 / 2
LCM(71678,71686) = 2569154554

Least Common Multiple (LCM) of 71678 and 71686 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71678 and 71686. First we will calculate the prime factors of 71678 and 71686.

Prime Factorization of 71678

Prime Factorization of 71686

Now multiplying the highest exponent prime factors to calculate the LCM of 71678 and 71686.

LCM(71678,71686) = 2¹ × 35839¹ × 73¹ × 491¹
LCM(71678,71686) = 2569154554