What is the Least Common Multiple of 66608 and 66614?

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 66608 and 66614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66608 and 66614, than apply into the LCM equation.

GCF(66608,66614) = 2
LCM(66608,66614) = ( 66608 × 66614) / 2
LCM(66608,66614) = 4437025312 / 2
LCM(66608,66614) = 2218512656

Least Common Multiple (LCM) of 66608 and 66614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66608 and 66614. First we will calculate the prime factors of 66608 and 66614.

Prime Factorization of 66608

Prime Factorization of 66614

Now multiplying the highest exponent prime factors to calculate the LCM of 66608 and 66614.

LCM(66608,66614) = 2⁴ × 23¹ × 181¹ × 19¹ × 1753¹
LCM(66608,66614) = 2218512656