What is the Least Common Multiple of 66616 and 66625?

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 66616 and 66625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66616 and 66625, than apply into the LCM equation.

GCF(66616,66625) = 1
LCM(66616,66625) = ( 66616 × 66625) / 1
LCM(66616,66625) = 4438291000 / 1
LCM(66616,66625) = 4438291000

Least Common Multiple (LCM) of 66616 and 66625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66616 and 66625. First we will calculate the prime factors of 66616 and 66625.

Prime Factorization of 66616

Prime Factorization of 66625

Now multiplying the highest exponent prime factors to calculate the LCM of 66616 and 66625.

LCM(66616,66625) = 2³ × 11¹ × 757¹ × 5³ × 13¹ × 41¹
LCM(66616,66625) = 4438291000