What is the Least Common Multiple of 36542 and 36557?

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 36542 and 36557 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36542 and 36557, than apply into the LCM equation.

GCF(36542,36557) = 1
LCM(36542,36557) = ( 36542 × 36557) / 1
LCM(36542,36557) = 1335865894 / 1
LCM(36542,36557) = 1335865894

Least Common Multiple (LCM) of 36542 and 36557 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36542 and 36557. First we will calculate the prime factors of 36542 and 36557.

Prime Factorization of 36542

Prime Factorization of 36557

Now multiplying the highest exponent prime factors to calculate the LCM of 36542 and 36557.

LCM(36542,36557) = 2¹ × 11² × 151¹ × 139¹ × 263¹
LCM(36542,36557) = 1335865894