GCF and LCM Calculator Logo

What is the Least Common Multiple of 26371 and 26390?

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 26371 and 26390 is 695930690.

LCM(26371,26390) = 695930690

LCM Calculator and
and

Least Common Multiple of 26371 and 26390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26371 and 26390, than apply into the LCM equation.

GCF(26371,26390) = 1
LCM(26371,26390) = ( 26371 × 26390) / 1
LCM(26371,26390) = 695930690 / 1
LCM(26371,26390) = 695930690

Least Common Multiple (LCM) of 26371 and 26390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26371 and 26390. First we will calculate the prime factors of 26371 and 26390.

Prime Factorization of 26371

Prime factors of 26371 are 26371. Prime factorization of 26371 in exponential form is:

26371 = 263711

Prime Factorization of 26390

Prime factors of 26390 are 2, 5, 7, 13, 29. Prime factorization of 26390 in exponential form is:

26390 = 21 × 51 × 71 × 131 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 26371 and 26390.

LCM(26371,26390) = 263711 × 21 × 51 × 71 × 131 × 291
LCM(26371,26390) = 695930690