What is the Least Common Multiple of 8608 and 8614?

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 8608 and 8614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8608 and 8614, than apply into the LCM equation.

GCF(8608,8614) = 2
LCM(8608,8614) = ( 8608 × 8614) / 2
LCM(8608,8614) = 74149312 / 2
LCM(8608,8614) = 37074656

Least Common Multiple (LCM) of 8608 and 8614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8608 and 8614. First we will calculate the prime factors of 8608 and 8614.

Prime Factorization of 8608

Prime Factorization of 8614

Now multiplying the highest exponent prime factors to calculate the LCM of 8608 and 8614.

LCM(8608,8614) = 2⁵ × 269¹ × 59¹ × 73¹
LCM(8608,8614) = 37074656