What is the Least Common Multiple of 8642 and 8662?

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 8642 and 8662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8642 and 8662, than apply into the LCM equation.

GCF(8642,8662) = 2
LCM(8642,8662) = ( 8642 × 8662) / 2
LCM(8642,8662) = 74857004 / 2
LCM(8642,8662) = 37428502

Least Common Multiple (LCM) of 8642 and 8662 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8642 and 8662. First we will calculate the prime factors of 8642 and 8662.

Prime Factorization of 8642

Prime Factorization of 8662

Now multiplying the highest exponent prime factors to calculate the LCM of 8642 and 8662.

LCM(8642,8662) = 2¹ × 29¹ × 149¹ × 61¹ × 71¹
LCM(8642,8662) = 37428502