What is the Least Common Multiple of 66596 and 66616?

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 66596 and 66616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66596 and 66616, than apply into the LCM equation.

GCF(66596,66616) = 4
LCM(66596,66616) = ( 66596 × 66616) / 4
LCM(66596,66616) = 4436359136 / 4
LCM(66596,66616) = 1109089784

Least Common Multiple (LCM) of 66596 and 66616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66596 and 66616. First we will calculate the prime factors of 66596 and 66616.

Prime Factorization of 66596

Prime Factorization of 66616

Now multiplying the highest exponent prime factors to calculate the LCM of 66596 and 66616.

LCM(66596,66616) = 2³ × 16649¹ × 11¹ × 757¹
LCM(66596,66616) = 1109089784