GCF and LCM Calculator Logo

What is the Least Common Multiple of 26350 and 26370?

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 26350 and 26370 is 69484950.

LCM(26350,26370) = 69484950

LCM Calculator and
and

Least Common Multiple of 26350 and 26370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26350 and 26370, than apply into the LCM equation.

GCF(26350,26370) = 10
LCM(26350,26370) = ( 26350 × 26370) / 10
LCM(26350,26370) = 694849500 / 10
LCM(26350,26370) = 69484950

Least Common Multiple (LCM) of 26350 and 26370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26350 and 26370. First we will calculate the prime factors of 26350 and 26370.

Prime Factorization of 26350

Prime factors of 26350 are 2, 5, 17, 31. Prime factorization of 26350 in exponential form is:

26350 = 21 × 52 × 171 × 311

Prime Factorization of 26370

Prime factors of 26370 are 2, 3, 5, 293. Prime factorization of 26370 in exponential form is:

26370 = 21 × 32 × 51 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 26350 and 26370.

LCM(26350,26370) = 21 × 52 × 171 × 311 × 32 × 2931
LCM(26350,26370) = 69484950