What is the Least Common Multiple of 8414 and 8431?

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 8414 and 8431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8414 and 8431, than apply into the LCM equation.

GCF(8414,8431) = 1
LCM(8414,8431) = ( 8414 × 8431) / 1
LCM(8414,8431) = 70938434 / 1
LCM(8414,8431) = 70938434

Least Common Multiple (LCM) of 8414 and 8431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8414 and 8431. First we will calculate the prime factors of 8414 and 8431.

Prime Factorization of 8414

Prime Factorization of 8431

Now multiplying the highest exponent prime factors to calculate the LCM of 8414 and 8431.

LCM(8414,8431) = 2¹ × 7¹ × 601¹ × 8431¹
LCM(8414,8431) = 70938434