What is the Least Common Multiple of 8414 and 8430?

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 8430 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 8430, than apply into the LCM equation.

GCF(8414,8430) = 2
LCM(8414,8430) = ( 8414 × 8430) / 2
LCM(8414,8430) = 70930020 / 2
LCM(8414,8430) = 35465010

Least Common Multiple (LCM) of 8414 and 8430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8414 and 8430. First we will calculate the prime factors of 8414 and 8430.

Prime Factorization of 8414

Prime Factorization of 8430

Now multiplying the highest exponent prime factors to calculate the LCM of 8414 and 8430.

LCM(8414,8430) = 2¹ × 7¹ × 601¹ × 3¹ × 5¹ × 281¹
LCM(8414,8430) = 35465010