What is the Least Common Multiple of 19548 and 19557?

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 19548 and 19557 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19548 and 19557, than apply into the LCM equation.

GCF(19548,19557) = 9
LCM(19548,19557) = ( 19548 × 19557) / 9
LCM(19548,19557) = 382300236 / 9
LCM(19548,19557) = 42477804

Least Common Multiple (LCM) of 19548 and 19557 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19548 and 19557. First we will calculate the prime factors of 19548 and 19557.

Prime Factorization of 19548

Prime Factorization of 19557

Now multiplying the highest exponent prime factors to calculate the LCM of 19548 and 19557.

LCM(19548,19557) = 2² × 3³ × 181¹ × 41¹ × 53¹
LCM(19548,19557) = 42477804