GCF and LCM Calculator Logo

What is the Least Common Multiple of 8053 and 8061?

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 8053 and 8061 is 64915233.

LCM(8053,8061) = 64915233

LCM Calculator and
and

Least Common Multiple of 8053 and 8061 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8053 and 8061, than apply into the LCM equation.

GCF(8053,8061) = 1
LCM(8053,8061) = ( 8053 × 8061) / 1
LCM(8053,8061) = 64915233 / 1
LCM(8053,8061) = 64915233

Least Common Multiple (LCM) of 8053 and 8061 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8053 and 8061. First we will calculate the prime factors of 8053 and 8061.

Prime Factorization of 8053

Prime factors of 8053 are 8053. Prime factorization of 8053 in exponential form is:

8053 = 80531

Prime Factorization of 8061

Prime factors of 8061 are 3, 2687. Prime factorization of 8061 in exponential form is:

8061 = 31 × 26871

Now multiplying the highest exponent prime factors to calculate the LCM of 8053 and 8061.

LCM(8053,8061) = 80531 × 31 × 26871
LCM(8053,8061) = 64915233