What is the Least Common Multiple of 15345 and 15355?

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 15345 and 15355 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15345 and 15355, than apply into the LCM equation.

GCF(15345,15355) = 5
LCM(15345,15355) = ( 15345 × 15355) / 5
LCM(15345,15355) = 235622475 / 5
LCM(15345,15355) = 47124495

Least Common Multiple (LCM) of 15345 and 15355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15345 and 15355. First we will calculate the prime factors of 15345 and 15355.

Prime Factorization of 15345

Prime Factorization of 15355

Now multiplying the highest exponent prime factors to calculate the LCM of 15345 and 15355.

LCM(15345,15355) = 3² × 5¹ × 11¹ × 31¹ × 37¹ × 83¹
LCM(15345,15355) = 47124495