What is the Least Common Multiple of 11345 and 11355?

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 11345 and 11355 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11345 and 11355, than apply into the LCM equation.

GCF(11345,11355) = 5
LCM(11345,11355) = ( 11345 × 11355) / 5
LCM(11345,11355) = 128822475 / 5
LCM(11345,11355) = 25764495

Least Common Multiple (LCM) of 11345 and 11355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11345 and 11355. First we will calculate the prime factors of 11345 and 11355.

Prime Factorization of 11345

Prime Factorization of 11355

Now multiplying the highest exponent prime factors to calculate the LCM of 11345 and 11355.

LCM(11345,11355) = 5¹ × 2269¹ × 3¹ × 757¹
LCM(11345,11355) = 25764495