What is the Least Common Multiple of 26355 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 of 26355 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 26355 and 26370, than apply into the LCM equation.

GCF(26355,26370) = 15
LCM(26355,26370) = ( 26355 × 26370) / 15
LCM(26355,26370) = 694981350 / 15
LCM(26355,26370) = 46332090

Least Common Multiple (LCM) of 26355 and 26370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26355 and 26370. First we will calculate the prime factors of 26355 and 26370.

Prime Factorization of 26355

Prime Factorization of 26370

Now multiplying the highest exponent prime factors to calculate the LCM of 26355 and 26370.

LCM(26355,26370) = 3² × 5¹ × 7¹ × 251¹ × 2¹ × 293¹
LCM(26355,26370) = 46332090