GCF and LCM Calculator Logo

What is the Least Common Multiple of 79444 and 79448?

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 79444 and 79448 is 1577916728.

LCM(79444,79448) = 1577916728

LCM Calculator and
and

Least Common Multiple of 79444 and 79448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79444 and 79448, than apply into the LCM equation.

GCF(79444,79448) = 4
LCM(79444,79448) = ( 79444 × 79448) / 4
LCM(79444,79448) = 6311666912 / 4
LCM(79444,79448) = 1577916728

Least Common Multiple (LCM) of 79444 and 79448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79444 and 79448. First we will calculate the prime factors of 79444 and 79448.

Prime Factorization of 79444

Prime factors of 79444 are 2, 19861. Prime factorization of 79444 in exponential form is:

79444 = 22 × 198611

Prime Factorization of 79448

Prime factors of 79448 are 2, 9931. Prime factorization of 79448 in exponential form is:

79448 = 23 × 99311

Now multiplying the highest exponent prime factors to calculate the LCM of 79444 and 79448.

LCM(79444,79448) = 23 × 198611 × 99311
LCM(79444,79448) = 1577916728