What is the Least Common Multiple of 66596 and 66607?

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 66607 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 66607, than apply into the LCM equation.

GCF(66596,66607) = 1
LCM(66596,66607) = ( 66596 × 66607) / 1
LCM(66596,66607) = 4435759772 / 1
LCM(66596,66607) = 4435759772

Least Common Multiple (LCM) of 66596 and 66607 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66596 and 66607. First we will calculate the prime factors of 66596 and 66607.

Prime Factorization of 66596

Prime Factorization of 66607

Now multiplying the highest exponent prime factors to calculate the LCM of 66596 and 66607.

LCM(66596,66607) = 2² × 16649¹ × 43¹ × 1549¹
LCM(66596,66607) = 4435759772