GCF and LCM Calculator Logo

What is the Least Common Multiple of 69361 and 69379?

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 69361 and 69379 is 4812196819.

LCM(69361,69379) = 4812196819

LCM Calculator and
and

Least Common Multiple of 69361 and 69379 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69361 and 69379, than apply into the LCM equation.

GCF(69361,69379) = 1
LCM(69361,69379) = ( 69361 × 69379) / 1
LCM(69361,69379) = 4812196819 / 1
LCM(69361,69379) = 4812196819

Least Common Multiple (LCM) of 69361 and 69379 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69361 and 69379. First we will calculate the prime factors of 69361 and 69379.

Prime Factorization of 69361

Prime factors of 69361 are 139, 499. Prime factorization of 69361 in exponential form is:

69361 = 1391 × 4991

Prime Factorization of 69379

Prime factors of 69379 are 69379. Prime factorization of 69379 in exponential form is:

69379 = 693791

Now multiplying the highest exponent prime factors to calculate the LCM of 69361 and 69379.

LCM(69361,69379) = 1391 × 4991 × 693791
LCM(69361,69379) = 4812196819