GCF and LCM Calculator Logo

What is the Least Common Multiple of 8072 and 8088?

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 8072 and 8088 is 8160792.

LCM(8072,8088) = 8160792

LCM Calculator and
and

Least Common Multiple of 8072 and 8088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8072 and 8088, than apply into the LCM equation.

GCF(8072,8088) = 8
LCM(8072,8088) = ( 8072 × 8088) / 8
LCM(8072,8088) = 65286336 / 8
LCM(8072,8088) = 8160792

Least Common Multiple (LCM) of 8072 and 8088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8072 and 8088. First we will calculate the prime factors of 8072 and 8088.

Prime Factorization of 8072

Prime factors of 8072 are 2, 1009. Prime factorization of 8072 in exponential form is:

8072 = 23 × 10091

Prime Factorization of 8088

Prime factors of 8088 are 2, 3, 337. Prime factorization of 8088 in exponential form is:

8088 = 23 × 31 × 3371

Now multiplying the highest exponent prime factors to calculate the LCM of 8072 and 8088.

LCM(8072,8088) = 23 × 10091 × 31 × 3371
LCM(8072,8088) = 8160792