GCF and LCM Calculator Logo

What is the Least Common Multiple of 78865 and 78881?

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 78865 and 78881 is 6220950065.

LCM(78865,78881) = 6220950065

LCM Calculator and
and

Least Common Multiple of 78865 and 78881 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78865 and 78881, than apply into the LCM equation.

GCF(78865,78881) = 1
LCM(78865,78881) = ( 78865 × 78881) / 1
LCM(78865,78881) = 6220950065 / 1
LCM(78865,78881) = 6220950065

Least Common Multiple (LCM) of 78865 and 78881 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78865 and 78881. First we will calculate the prime factors of 78865 and 78881.

Prime Factorization of 78865

Prime factors of 78865 are 5, 15773. Prime factorization of 78865 in exponential form is:

78865 = 51 × 157731

Prime Factorization of 78881

Prime factors of 78881 are 11, 71, 101. Prime factorization of 78881 in exponential form is:

78881 = 111 × 711 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 78865 and 78881.

LCM(78865,78881) = 51 × 157731 × 111 × 711 × 1011
LCM(78865,78881) = 6220950065