What is the Least Common Multiple of 13542 and 13562?

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 13542 and 13562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13542 and 13562, than apply into the LCM equation.

GCF(13542,13562) = 2
LCM(13542,13562) = ( 13542 × 13562) / 2
LCM(13542,13562) = 183656604 / 2
LCM(13542,13562) = 91828302

Least Common Multiple (LCM) of 13542 and 13562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13542 and 13562. First we will calculate the prime factors of 13542 and 13562.

Prime Factorization of 13542

Prime Factorization of 13562

Now multiplying the highest exponent prime factors to calculate the LCM of 13542 and 13562.

LCM(13542,13562) = 2¹ × 3¹ × 37¹ × 61¹ × 6781¹
LCM(13542,13562) = 91828302