What is the Least Common Multiple of 66614 and 66626?

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 66614 and 66626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66614 and 66626, than apply into the LCM equation.

GCF(66614,66626) = 2
LCM(66614,66626) = ( 66614 × 66626) / 2
LCM(66614,66626) = 4438224364 / 2
LCM(66614,66626) = 2219112182

Least Common Multiple (LCM) of 66614 and 66626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66614 and 66626. First we will calculate the prime factors of 66614 and 66626.

Prime Factorization of 66614

Prime Factorization of 66626

Now multiplying the highest exponent prime factors to calculate the LCM of 66614 and 66626.

LCM(66614,66626) = 2¹ × 19¹ × 1753¹ × 7¹ × 4759¹
LCM(66614,66626) = 2219112182