GCF and LCM Calculator Logo

What is the Least Common Multiple of 66711 and 66716?

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 66711 and 66716 is 4450691076.

LCM(66711,66716) = 4450691076

LCM Calculator and
and

Least Common Multiple of 66711 and 66716 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66711 and 66716, than apply into the LCM equation.

GCF(66711,66716) = 1
LCM(66711,66716) = ( 66711 × 66716) / 1
LCM(66711,66716) = 4450691076 / 1
LCM(66711,66716) = 4450691076

Least Common Multiple (LCM) of 66711 and 66716 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66711 and 66716. First we will calculate the prime factors of 66711 and 66716.

Prime Factorization of 66711

Prime factors of 66711 are 3, 37, 601. Prime factorization of 66711 in exponential form is:

66711 = 31 × 371 × 6011

Prime Factorization of 66716

Prime factors of 66716 are 2, 13, 1283. Prime factorization of 66716 in exponential form is:

66716 = 22 × 131 × 12831

Now multiplying the highest exponent prime factors to calculate the LCM of 66711 and 66716.

LCM(66711,66716) = 31 × 371 × 6011 × 22 × 131 × 12831
LCM(66711,66716) = 4450691076