GCF and LCM Calculator Logo

What is the Least Common Multiple of 66655 and 66661?

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 66655 and 66661 is 4443288955.

LCM(66655,66661) = 4443288955

LCM Calculator and
and

Least Common Multiple of 66655 and 66661 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66655 and 66661, than apply into the LCM equation.

GCF(66655,66661) = 1
LCM(66655,66661) = ( 66655 × 66661) / 1
LCM(66655,66661) = 4443288955 / 1
LCM(66655,66661) = 4443288955

Least Common Multiple (LCM) of 66655 and 66661 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66655 and 66661. First we will calculate the prime factors of 66655 and 66661.

Prime Factorization of 66655

Prime factors of 66655 are 5, 13331. Prime factorization of 66655 in exponential form is:

66655 = 51 × 133311

Prime Factorization of 66661

Prime factors of 66661 are 7, 89, 107. Prime factorization of 66661 in exponential form is:

66661 = 71 × 891 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 66655 and 66661.

LCM(66655,66661) = 51 × 133311 × 71 × 891 × 1071
LCM(66655,66661) = 4443288955