GCF and LCM Calculator Logo

What is the Least Common Multiple of 66056 and 66065?

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 66056 and 66065 is 4363989640.

LCM(66056,66065) = 4363989640

LCM Calculator and
and

Least Common Multiple of 66056 and 66065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66056 and 66065, than apply into the LCM equation.

GCF(66056,66065) = 1
LCM(66056,66065) = ( 66056 × 66065) / 1
LCM(66056,66065) = 4363989640 / 1
LCM(66056,66065) = 4363989640

Least Common Multiple (LCM) of 66056 and 66065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66056 and 66065. First we will calculate the prime factors of 66056 and 66065.

Prime Factorization of 66056

Prime factors of 66056 are 2, 23, 359. Prime factorization of 66056 in exponential form is:

66056 = 23 × 231 × 3591

Prime Factorization of 66065

Prime factors of 66065 are 5, 73, 181. Prime factorization of 66065 in exponential form is:

66065 = 51 × 731 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 66056 and 66065.

LCM(66056,66065) = 23 × 231 × 3591 × 51 × 731 × 1811
LCM(66056,66065) = 4363989640