What is the Least Common Multiple of 13545 and 13550?

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 13550 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 13550, than apply into the LCM equation.

GCF(13545,13550) = 5
LCM(13545,13550) = ( 13545 × 13550) / 5
LCM(13545,13550) = 183534750 / 5
LCM(13545,13550) = 36706950

Least Common Multiple (LCM) of 13545 and 13550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13545 and 13550. First we will calculate the prime factors of 13545 and 13550.

Prime Factorization of 13545

Prime Factorization of 13550

Now multiplying the highest exponent prime factors to calculate the LCM of 13545 and 13550.

LCM(13545,13550) = 3² × 5² × 7¹ × 43¹ × 2¹ × 271¹
LCM(13545,13550) = 36706950