What is the Least Common Multiple of 8590 and 8608?

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 8590 and 8608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8590 and 8608, than apply into the LCM equation.

GCF(8590,8608) = 2
LCM(8590,8608) = ( 8590 × 8608) / 2
LCM(8590,8608) = 73942720 / 2
LCM(8590,8608) = 36971360

Least Common Multiple (LCM) of 8590 and 8608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8590 and 8608. First we will calculate the prime factors of 8590 and 8608.

Prime Factorization of 8590

Prime Factorization of 8608

Now multiplying the highest exponent prime factors to calculate the LCM of 8590 and 8608.

LCM(8590,8608) = 2⁵ × 5¹ × 859¹ × 269¹
LCM(8590,8608) = 36971360