What is the Least Common Multiple of 53523 and 53542?

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 53523 and 53542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53523 and 53542, than apply into the LCM equation.

GCF(53523,53542) = 19
LCM(53523,53542) = ( 53523 × 53542) / 19
LCM(53523,53542) = 2865728466 / 19
LCM(53523,53542) = 150827814

Least Common Multiple (LCM) of 53523 and 53542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53523 and 53542. First we will calculate the prime factors of 53523 and 53542.

Prime Factorization of 53523

Prime Factorization of 53542

Now multiplying the highest exponent prime factors to calculate the LCM of 53523 and 53542.

LCM(53523,53542) = 3² × 19¹ × 313¹ × 2¹ × 1409¹
LCM(53523,53542) = 150827814