What is the Least Common Multiple of 13545 and 13564?

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 13545 and 13564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13545 and 13564, than apply into the LCM equation.

GCF(13545,13564) = 1
LCM(13545,13564) = ( 13545 × 13564) / 1
LCM(13545,13564) = 183724380 / 1
LCM(13545,13564) = 183724380

Least Common Multiple (LCM) of 13545 and 13564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13545 and 13564. First we will calculate the prime factors of 13545 and 13564.

Prime Factorization of 13545

Prime Factorization of 13564

Now multiplying the highest exponent prime factors to calculate the LCM of 13545 and 13564.

LCM(13545,13564) = 3² × 5¹ × 7¹ × 43¹ × 2² × 3391¹
LCM(13545,13564) = 183724380