GCF and LCM Calculator Logo

What is the Least Common Multiple of 8888 and 8906?

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 8888 and 8906 is 39578264.

LCM(8888,8906) = 39578264

LCM Calculator and
and

Least Common Multiple of 8888 and 8906 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8888 and 8906, than apply into the LCM equation.

GCF(8888,8906) = 2
LCM(8888,8906) = ( 8888 × 8906) / 2
LCM(8888,8906) = 79156528 / 2
LCM(8888,8906) = 39578264

Least Common Multiple (LCM) of 8888 and 8906 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8888 and 8906. First we will calculate the prime factors of 8888 and 8906.

Prime Factorization of 8888

Prime factors of 8888 are 2, 11, 101. Prime factorization of 8888 in exponential form is:

8888 = 23 × 111 × 1011

Prime Factorization of 8906

Prime factors of 8906 are 2, 61, 73. Prime factorization of 8906 in exponential form is:

8906 = 21 × 611 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 8888 and 8906.

LCM(8888,8906) = 23 × 111 × 1011 × 611 × 731
LCM(8888,8906) = 39578264