GCF and LCM Calculator Logo

What is the Least Common Multiple of 66566 and 66586?

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 (LCM) of 66566 and 66586 is 2216181838.

LCM(66566,66586) = 2216181838

LCM Calculator and
and

Least Common Multiple of 66566 and 66586 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66566 and 66586, than apply into the LCM equation.

GCF(66566,66586) = 2
LCM(66566,66586) = ( 66566 × 66586) / 2
LCM(66566,66586) = 4432363676 / 2
LCM(66566,66586) = 2216181838

Least Common Multiple (LCM) of 66566 and 66586 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66566 and 66586. First we will calculate the prime factors of 66566 and 66586.

Prime Factorization of 66566

Prime factors of 66566 are 2, 83, 401. Prime factorization of 66566 in exponential form is:

66566 = 21 × 831 × 4011

Prime Factorization of 66586

Prime factors of 66586 are 2, 13, 197. Prime factorization of 66586 in exponential form is:

66586 = 21 × 132 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 66566 and 66586.

LCM(66566,66586) = 21 × 831 × 4011 × 132 × 1971
LCM(66566,66586) = 2216181838