GCF and LCM Calculator Logo

What is the Least Common Multiple of 10078 and 10089?

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 10078 and 10089 is 101676942.

LCM(10078,10089) = 101676942

LCM Calculator and
and

Least Common Multiple of 10078 and 10089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10078 and 10089, than apply into the LCM equation.

GCF(10078,10089) = 1
LCM(10078,10089) = ( 10078 × 10089) / 1
LCM(10078,10089) = 101676942 / 1
LCM(10078,10089) = 101676942

Least Common Multiple (LCM) of 10078 and 10089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10078 and 10089. First we will calculate the prime factors of 10078 and 10089.

Prime Factorization of 10078

Prime factors of 10078 are 2, 5039. Prime factorization of 10078 in exponential form is:

10078 = 21 × 50391

Prime Factorization of 10089

Prime factors of 10089 are 3, 19, 59. Prime factorization of 10089 in exponential form is:

10089 = 32 × 191 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 10078 and 10089.

LCM(10078,10089) = 21 × 50391 × 32 × 191 × 591
LCM(10078,10089) = 101676942